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Finding the Fourth Proportional to 931.29, 1,397.01 and 314.79

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Solution

The fourth proportional to 931.29, 1,397.01 and 314.79 is: 472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.29 : 1,397.01 = 314.79 : x
  2. Step 2: Convert to fraction form
    931.29/1,397.01 = 314.79/x
  3. Step 3: Cross multiply
    931.29x = 1,397.01 × 314.79
  4. Step 4: Simplify right side
    931.29x = 439,763.20
  5. Step 5: Solve for x
    x = 439,763.20/931.29
  6. Step 6: Final answer
    x = 472.21

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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.