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Finding the Fourth Proportional to 596.47, 887.49 and 581.59

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Solution

The fourth proportional to 596.47, 887.49 and 581.59 is: 865.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.47 : 887.49 = 581.59 : x
  2. Step 2: Convert to fraction form
    596.47/887.49 = 581.59/x
  3. Step 3: Cross multiply
    596.47x = 887.49 × 581.59
  4. Step 4: Simplify right side
    596.47x = 516,155.31
  5. Step 5: Solve for x
    x = 516,155.31/596.47
  6. Step 6: Final answer
    x = 865.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.