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Finding the Fourth Proportional to 998.53, 1,497.84 and 305.30

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Solution

The fourth proportional to 998.53, 1,497.84 and 305.30 is: 457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.53 : 1,497.84 = 305.30 : x
  2. Step 2: Convert to fraction form
    998.53/1,497.84 = 305.30/x
  3. Step 3: Cross multiply
    998.53x = 1,497.84 × 305.30
  4. Step 4: Simplify right side
    998.53x = 457,290.55
  5. Step 5: Solve for x
    x = 457,290.55/998.53
  6. Step 6: Final answer
    x = 457.96

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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.