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Finding the Fourth Proportional to 588.16, 882.58 and 542.82

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Solution

The fourth proportional to 588.16, 882.58 and 542.82 is: 814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.16 : 882.58 = 542.82 : x
  2. Step 2: Convert to fraction form
    588.16/882.58 = 542.82/x
  3. Step 3: Cross multiply
    588.16x = 882.58 × 542.82
  4. Step 4: Simplify right side
    588.16x = 479,082.08
  5. Step 5: Solve for x
    x = 479,082.08/588.16
  6. Step 6: Final answer
    x = 814.54

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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.