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Finding the Fourth Proportional to 566.72, 781.43 and 356.63

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Solution

The fourth proportional to 566.72, 781.43 and 356.63 is: 491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.72 : 781.43 = 356.63 : x
  2. Step 2: Convert to fraction form
    566.72/781.43 = 356.63/x
  3. Step 3: Cross multiply
    566.72x = 781.43 × 356.63
  4. Step 4: Simplify right side
    566.72x = 278,684.23
  5. Step 5: Solve for x
    x = 278,684.23/566.72
  6. Step 6: Final answer
    x = 491.75

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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.