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Finding the Fourth Proportional to 549.60, 757.84 and 375.04

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Solution

The fourth proportional to 549.60, 757.84 and 375.04 is: 517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.60 : 757.84 = 375.04 : x
  2. Step 2: Convert to fraction form
    549.60/757.84 = 375.04/x
  3. Step 3: Cross multiply
    549.60x = 757.84 × 375.04
  4. Step 4: Simplify right side
    549.60x = 284,220.31
  5. Step 5: Solve for x
    x = 284,220.31/549.60
  6. Step 6: Final answer
    x = 517.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.