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Finding the Fourth Proportional to 566.71, 782.38 and 417.21

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Solution

The fourth proportional to 566.71, 782.38 and 417.21 is: 575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.71 : 782.38 = 417.21 : x
  2. Step 2: Convert to fraction form
    566.71/782.38 = 417.21/x
  3. Step 3: Cross multiply
    566.71x = 782.38 × 417.21
  4. Step 4: Simplify right side
    566.71x = 326,414.20
  5. Step 5: Solve for x
    x = 326,414.20/566.71
  6. Step 6: Final answer
    x = 575.98

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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.