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Finding the Fourth Proportional to 591.54, 882.90 and 508.92

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Solution

The fourth proportional to 591.54, 882.90 and 508.92 is: 759.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.54 : 882.90 = 508.92 : x
  2. Step 2: Convert to fraction form
    591.54/882.90 = 508.92/x
  3. Step 3: Cross multiply
    591.54x = 882.90 × 508.92
  4. Step 4: Simplify right side
    591.54x = 449,325.47
  5. Step 5: Solve for x
    x = 449,325.47/591.54
  6. Step 6: Final answer
    x = 759.59

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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.