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Finding the Fourth Proportional to 474.60, 654.89 and 264.75

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Solution

The fourth proportional to 474.60, 654.89 and 264.75 is: 365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.60 : 654.89 = 264.75 : x
  2. Step 2: Convert to fraction form
    474.60/654.89 = 264.75/x
  3. Step 3: Cross multiply
    474.60x = 654.89 × 264.75
  4. Step 4: Simplify right side
    474.60x = 173,382.13
  5. Step 5: Solve for x
    x = 173,382.13/474.60
  6. Step 6: Final answer
    x = 365.32

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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.