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Finding the Fourth Proportional to 591.38, 887.10 and 505.34

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Solution

The fourth proportional to 591.38, 887.10 and 505.34 is: 758.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.38 : 887.10 = 505.34 : x
  2. Step 2: Convert to fraction form
    591.38/887.10 = 505.34/x
  3. Step 3: Cross multiply
    591.38x = 887.10 × 505.34
  4. Step 4: Simplify right side
    591.38x = 448,287.11
  5. Step 5: Solve for x
    x = 448,287.11/591.38
  6. Step 6: Final answer
    x = 758.04

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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.