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Finding the Fourth Proportional to 566.17, 781.68 and 356.65

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Solution

The fourth proportional to 566.17, 781.68 and 356.65 is: 492.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.17 : 781.68 = 356.65 : x
  2. Step 2: Convert to fraction form
    566.17/781.68 = 356.65/x
  3. Step 3: Cross multiply
    566.17x = 781.68 × 356.65
  4. Step 4: Simplify right side
    566.17x = 278,786.17
  5. Step 5: Solve for x
    x = 278,786.17/566.17
  6. Step 6: Final answer
    x = 492.41

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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.