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Finding the Fourth Proportional to 931.54, 1,397.23 and 315.18

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Solution

The fourth proportional to 931.54, 1,397.23 and 315.18 is: 472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.54 : 1,397.23 = 315.18 : x
  2. Step 2: Convert to fraction form
    931.54/1,397.23 = 315.18/x
  3. Step 3: Cross multiply
    931.54x = 1,397.23 × 315.18
  4. Step 4: Simplify right side
    931.54x = 440,377.31
  5. Step 5: Solve for x
    x = 440,377.31/931.54
  6. Step 6: Final answer
    x = 472.74

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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.