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Finding the Fourth Proportional to 474.97, 655.76 and 364.24

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Solution

The fourth proportional to 474.97, 655.76 and 364.24 is: 502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.97 : 655.76 = 364.24 : x
  2. Step 2: Convert to fraction form
    474.97/655.76 = 364.24/x
  3. Step 3: Cross multiply
    474.97x = 655.76 × 364.24
  4. Step 4: Simplify right side
    474.97x = 238,849.83
  5. Step 5: Solve for x
    x = 238,849.83/474.97
  6. Step 6: Final answer
    x = 502.87

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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.