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Finding the Fourth Proportional to 566.13, 781.02 and 345

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Solution

The fourth proportional to 566.13, 781.02 and 345 is: 475.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.13 : 781.02 = 345 : x
  2. Step 2: Convert to fraction form
    566.13/781.02 = 345/x
  3. Step 3: Cross multiply
    566.13x = 781.02 × 345
  4. Step 4: Simplify right side
    566.13x = 269,451.90
  5. Step 5: Solve for x
    x = 269,451.90/566.13
  6. Step 6: Final answer
    x = 475.95

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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.