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Finding the Fourth Proportional to 587.88, 806.78 and 532.50

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Solution

The fourth proportional to 587.88, 806.78 and 532.50 is: 730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.88 : 806.78 = 532.50 : x
  2. Step 2: Convert to fraction form
    587.88/806.78 = 532.50/x
  3. Step 3: Cross multiply
    587.88x = 806.78 × 532.50
  4. Step 4: Simplify right side
    587.88x = 429,610.35
  5. Step 5: Solve for x
    x = 429,610.35/587.88
  6. Step 6: Final answer
    x = 730.78

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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.