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Finding the Fourth Proportional to 972.98, 1,459.49 and 323.72

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Solution

The fourth proportional to 972.98, 1,459.49 and 323.72 is: 485.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.98 : 1,459.49 = 323.72 : x
  2. Step 2: Convert to fraction form
    972.98/1,459.49 = 323.72/x
  3. Step 3: Cross multiply
    972.98x = 1,459.49 × 323.72
  4. Step 4: Simplify right side
    972.98x = 472,468.13
  5. Step 5: Solve for x
    x = 472,468.13/972.98
  6. Step 6: Final answer
    x = 485.59

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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.