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Finding the Fourth Proportional to 924.31, 1,386.45 and 437.71

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Solution

The fourth proportional to 924.31, 1,386.45 and 437.71 is: 656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.31 : 1,386.45 = 437.71 : x
  2. Step 2: Convert to fraction form
    924.31/1,386.45 = 437.71/x
  3. Step 3: Cross multiply
    924.31x = 1,386.45 × 437.71
  4. Step 4: Simplify right side
    924.31x = 606,863.03
  5. Step 5: Solve for x
    x = 606,863.03/924.31
  6. Step 6: Final answer
    x = 656.56

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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.