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Finding the Fourth Proportional to 937.96, 1,407.35 and 361.24

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Solution

The fourth proportional to 937.96, 1,407.35 and 361.24 is: 542.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.96 : 1,407.35 = 361.24 : x
  2. Step 2: Convert to fraction form
    937.96/1,407.35 = 361.24/x
  3. Step 3: Cross multiply
    937.96x = 1,407.35 × 361.24
  4. Step 4: Simplify right side
    937.96x = 508,391.11
  5. Step 5: Solve for x
    x = 508,391.11/937.96
  6. Step 6: Final answer
    x = 542.02

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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.