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Finding the Fourth Proportional to 917.40, 1,375.10 and 361.96

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Solution

The fourth proportional to 917.40, 1,375.10 and 361.96 is: 542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.40 : 1,375.10 = 361.96 : x
  2. Step 2: Convert to fraction form
    917.40/1,375.10 = 361.96/x
  3. Step 3: Cross multiply
    917.40x = 1,375.10 × 361.96
  4. Step 4: Simplify right side
    917.40x = 497,731.20
  5. Step 5: Solve for x
    x = 497,731.20/917.40
  6. Step 6: Final answer
    x = 542.55

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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.