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Finding the Fourth Proportional to 474.74, 655.14 and 264.92

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Solution

The fourth proportional to 474.74, 655.14 and 264.92 is: 365.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.74 : 655.14 = 264.92 : x
  2. Step 2: Convert to fraction form
    474.74/655.14 = 264.92/x
  3. Step 3: Cross multiply
    474.74x = 655.14 × 264.92
  4. Step 4: Simplify right side
    474.74x = 173,559.69
  5. Step 5: Solve for x
    x = 173,559.69/474.74
  6. Step 6: Final answer
    x = 365.59

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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.