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Finding the Fourth Proportional to 474.72, 655.07 and 264.87

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Solution

The fourth proportional to 474.72, 655.07 and 264.87 is: 365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.72 : 655.07 = 264.87 : x
  2. Step 2: Convert to fraction form
    474.72/655.07 = 264.87/x
  3. Step 3: Cross multiply
    474.72x = 655.07 × 264.87
  4. Step 4: Simplify right side
    474.72x = 173,508.39
  5. Step 5: Solve for x
    x = 173,508.39/474.72
  6. Step 6: Final answer
    x = 365.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.