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Finding the Fourth Proportional to 938.60, 1,407.16 and 361.88

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Solution

The fourth proportional to 938.60, 1,407.16 and 361.88 is: 542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.60 : 1,407.16 = 361.88 : x
  2. Step 2: Convert to fraction form
    938.60/1,407.16 = 361.88/x
  3. Step 3: Cross multiply
    938.60x = 1,407.16 × 361.88
  4. Step 4: Simplify right side
    938.60x = 509,223.06
  5. Step 5: Solve for x
    x = 509,223.06/938.60
  6. Step 6: Final answer
    x = 542.53

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Why These Related Problems?

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