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Finding the Fourth Proportional to 566.76, 781.65 and 508.44

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Solution

The fourth proportional to 566.76, 781.65 and 508.44 is: 701.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.76 : 781.65 = 508.44 : x
  2. Step 2: Convert to fraction form
    566.76/781.65 = 508.44/x
  3. Step 3: Cross multiply
    566.76x = 781.65 × 508.44
  4. Step 4: Simplify right side
    566.76x = 397,422.13
  5. Step 5: Solve for x
    x = 397,422.13/566.76
  6. Step 6: Final answer
    x = 701.22

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