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Finding the Fourth Proportional to 566.08, 781.02 and 344.98

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Solution

The fourth proportional to 566.08, 781.02 and 344.98 is: 475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.08 : 781.02 = 344.98 : x
  2. Step 2: Convert to fraction form
    566.08/781.02 = 344.98/x
  3. Step 3: Cross multiply
    566.08x = 781.02 × 344.98
  4. Step 4: Simplify right side
    566.08x = 269,436.28
  5. Step 5: Solve for x
    x = 269,436.28/566.08
  6. Step 6: Final answer
    x = 475.97

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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.