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Finding the Fourth Proportional to 566.61, 781.91 and 345.54

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Solution

The fourth proportional to 566.61, 781.91 and 345.54 is: 476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.61 : 781.91 = 345.54 : x
  2. Step 2: Convert to fraction form
    566.61/781.91 = 345.54/x
  3. Step 3: Cross multiply
    566.61x = 781.91 × 345.54
  4. Step 4: Simplify right side
    566.61x = 270,179.45
  5. Step 5: Solve for x
    x = 270,179.45/566.61
  6. Step 6: Final answer
    x = 476.84

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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.