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Finding the Fourth Proportional to 584.52, 876.75 and 406.26

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Solution

The fourth proportional to 584.52, 876.75 and 406.26 is: 609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.52 : 876.75 = 406.26 : x
  2. Step 2: Convert to fraction form
    584.52/876.75 = 406.26/x
  3. Step 3: Cross multiply
    584.52x = 876.75 × 406.26
  4. Step 4: Simplify right side
    584.52x = 356,188.46
  5. Step 5: Solve for x
    x = 356,188.46/584.52
  6. Step 6: Final answer
    x = 609.37

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Similar ratio
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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.