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Finding the Fourth Proportional to 931.12, 1,397.20 and 437.44

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Solution

The fourth proportional to 931.12, 1,397.20 and 437.44 is: 656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.12 : 1,397.20 = 437.44 : x
  2. Step 2: Convert to fraction form
    931.12/1,397.20 = 437.44/x
  3. Step 3: Cross multiply
    931.12x = 1,397.20 × 437.44
  4. Step 4: Simplify right side
    931.12x = 611,191.17
  5. Step 5: Solve for x
    x = 611,191.17/931.12
  6. Step 6: Final answer
    x = 656.40

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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.