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Finding the Fourth Proportional to 584.01, 871.46 and 532.26

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Solution

The fourth proportional to 584.01, 871.46 and 532.26 is: 794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.01 : 871.46 = 532.26 : x
  2. Step 2: Convert to fraction form
    584.01/871.46 = 532.26/x
  3. Step 3: Cross multiply
    584.01x = 871.46 × 532.26
  4. Step 4: Simplify right side
    584.01x = 463,842.63
  5. Step 5: Solve for x
    x = 463,842.63/584.01
  6. Step 6: Final answer
    x = 794.24

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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.