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Finding the Fourth Proportional to 587.71, 880.52 and 524.15

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Solution

The fourth proportional to 587.71, 880.52 and 524.15 is: 785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.71 : 880.52 = 524.15 : x
  2. Step 2: Convert to fraction form
    587.71/880.52 = 524.15/x
  3. Step 3: Cross multiply
    587.71x = 880.52 × 524.15
  4. Step 4: Simplify right side
    587.71x = 461,521.47
  5. Step 5: Solve for x
    x = 461,521.47/587.71
  6. Step 6: Final answer
    x = 785.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.