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Finding the Fourth Proportional to 938.08, 1,405.84 and 437.16

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Solution

The fourth proportional to 938.08, 1,405.84 and 437.16 is: 655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.08 : 1,405.84 = 437.16 : x
  2. Step 2: Convert to fraction form
    938.08/1,405.84 = 437.16/x
  3. Step 3: Cross multiply
    938.08x = 1,405.84 × 437.16
  4. Step 4: Simplify right side
    938.08x = 614,577.01
  5. Step 5: Solve for x
    x = 614,577.01/938.08
  6. Step 6: Final answer
    x = 655.14

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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.