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Finding the Fourth Proportional to 566.82, 781.32 and 400.68

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Solution

The fourth proportional to 566.82, 781.32 and 400.68 is: 552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.82 : 781.32 = 400.68 : x
  2. Step 2: Convert to fraction form
    566.82/781.32 = 400.68/x
  3. Step 3: Cross multiply
    566.82x = 781.32 × 400.68
  4. Step 4: Simplify right side
    566.82x = 313,059.30
  5. Step 5: Solve for x
    x = 313,059.30/566.82
  6. Step 6: Final answer
    x = 552.31

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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.