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Finding the Fourth Proportional to 587.80, 882.04 and 542.70

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Solution

The fourth proportional to 587.80, 882.04 and 542.70 is: 814.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.80 : 882.04 = 542.70 : x
  2. Step 2: Convert to fraction form
    587.80/882.04 = 542.70/x
  3. Step 3: Cross multiply
    587.80x = 882.04 × 542.70
  4. Step 4: Simplify right side
    587.80x = 478,683.11
  5. Step 5: Solve for x
    x = 478,683.11/587.80
  6. Step 6: Final answer
    x = 814.36

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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.