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Finding the Fourth Proportional to 931.42, 1,397.22 and 315.10

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Solution

The fourth proportional to 931.42, 1,397.22 and 315.10 is: 472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.42 : 1,397.22 = 315.10 : x
  2. Step 2: Convert to fraction form
    931.42/1,397.22 = 315.10/x
  3. Step 3: Cross multiply
    931.42x = 1,397.22 × 315.10
  4. Step 4: Simplify right side
    931.42x = 440,264.02
  5. Step 5: Solve for x
    x = 440,264.02/931.42
  6. Step 6: Final answer
    x = 472.68

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