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Finding the Fourth Proportional to 582.57, 874.22 and 577.71

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Solution

The fourth proportional to 582.57, 874.22 and 577.71 is: 866.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.57 : 874.22 = 577.71 : x
  2. Step 2: Convert to fraction form
    582.57/874.22 = 577.71/x
  3. Step 3: Cross multiply
    582.57x = 874.22 × 577.71
  4. Step 4: Simplify right side
    582.57x = 505,042.75
  5. Step 5: Solve for x
    x = 505,042.75/582.57
  6. Step 6: Final answer
    x = 866.92

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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.