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Finding the Fourth Proportional to 474.67, 655.02 and 264.81

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Solution

The fourth proportional to 474.67, 655.02 and 264.81 is: 365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.67 : 655.02 = 264.81 : x
  2. Step 2: Convert to fraction form
    474.67/655.02 = 264.81/x
  3. Step 3: Cross multiply
    474.67x = 655.02 × 264.81
  4. Step 4: Simplify right side
    474.67x = 173,454.81
  5. Step 5: Solve for x
    x = 173,454.81/474.67
  6. Step 6: Final answer
    x = 365.42

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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.