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Finding the Fourth Proportional to 998.53, 1,497.61 and 305.03

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Solution

The fourth proportional to 998.53, 1,497.61 and 305.03 is: 457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.53 : 1,497.61 = 305.03 : x
  2. Step 2: Convert to fraction form
    998.53/1,497.61 = 305.03/x
  3. Step 3: Cross multiply
    998.53x = 1,497.61 × 305.03
  4. Step 4: Simplify right side
    998.53x = 456,815.98
  5. Step 5: Solve for x
    x = 456,815.98/998.53
  6. Step 6: Final answer
    x = 457.49

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.