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Finding the Fourth Proportional to 587.62, 806.45 and 532.24

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Solution

The fourth proportional to 587.62, 806.45 and 532.24 is: 730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.62 : 806.45 = 532.24 : x
  2. Step 2: Convert to fraction form
    587.62/806.45 = 532.24/x
  3. Step 3: Cross multiply
    587.62x = 806.45 × 532.24
  4. Step 4: Simplify right side
    587.62x = 429,222.29
  5. Step 5: Solve for x
    x = 429,222.29/587.62
  6. Step 6: Final answer
    x = 730.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.