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Finding the Fourth Proportional to 474.59, 654.92 and 264.77

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Solution

The fourth proportional to 474.59, 654.92 and 264.77 is: 365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.59 : 654.92 = 264.77 : x
  2. Step 2: Convert to fraction form
    474.59/654.92 = 264.77/x
  3. Step 3: Cross multiply
    474.59x = 654.92 × 264.77
  4. Step 4: Simplify right side
    474.59x = 173,403.17
  5. Step 5: Solve for x
    x = 173,403.17/474.59
  6. Step 6: Final answer
    x = 365.37

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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.