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Finding the Fourth Proportional to 587.47, 882.42 and 466.57

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Solution

The fourth proportional to 587.47, 882.42 and 466.57 is: 700.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.47 : 882.42 = 466.57 : x
  2. Step 2: Convert to fraction form
    587.47/882.42 = 466.57/x
  3. Step 3: Cross multiply
    587.47x = 882.42 × 466.57
  4. Step 4: Simplify right side
    587.47x = 411,710.70
  5. Step 5: Solve for x
    x = 411,710.70/587.47
  6. Step 6: Final answer
    x = 700.82

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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.