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Finding the Fourth Proportional to 566.28, 781.33 and 345.22

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Solution

The fourth proportional to 566.28, 781.33 and 345.22 is: 476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.28 : 781.33 = 345.22 : x
  2. Step 2: Convert to fraction form
    566.28/781.33 = 345.22/x
  3. Step 3: Cross multiply
    566.28x = 781.33 × 345.22
  4. Step 4: Simplify right side
    566.28x = 269,730.74
  5. Step 5: Solve for x
    x = 269,730.74/566.28
  6. Step 6: Final answer
    x = 476.32

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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.