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Finding the Fourth Proportional to 566.49, 781.25 and 408.54

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Solution

The fourth proportional to 566.49, 781.25 and 408.54 is: 563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.49 : 781.25 = 408.54 : x
  2. Step 2: Convert to fraction form
    566.49/781.25 = 408.54/x
  3. Step 3: Cross multiply
    566.49x = 781.25 × 408.54
  4. Step 4: Simplify right side
    566.49x = 319,172.76
  5. Step 5: Solve for x
    x = 319,172.76/566.49
  6. Step 6: Final answer
    x = 563.42

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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.