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Finding the Fourth Proportional to 566.47, 781.84 and 367.55

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Solution

The fourth proportional to 566.47, 781.84 and 367.55 is: 507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.47 : 781.84 = 367.55 : x
  2. Step 2: Convert to fraction form
    566.47/781.84 = 367.55/x
  3. Step 3: Cross multiply
    566.47x = 781.84 × 367.55
  4. Step 4: Simplify right side
    566.47x = 287,359.55
  5. Step 5: Solve for x
    x = 287,359.55/566.47
  6. Step 6: Final answer
    x = 507.29

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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.