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Finding the Fourth Proportional to 567.41, 782.66 and 410.27

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Solution

The fourth proportional to 567.41, 782.66 and 410.27 is: 565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.41 : 782.66 = 410.27 : x
  2. Step 2: Convert to fraction form
    567.41/782.66 = 410.27/x
  3. Step 3: Cross multiply
    567.41x = 782.66 × 410.27
  4. Step 4: Simplify right side
    567.41x = 321,101.92
  5. Step 5: Solve for x
    x = 321,101.92/567.41
  6. Step 6: Final answer
    x = 565.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.