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Finding the Fourth Proportional to 474.18, 654.33 and 264.35

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Solution

The fourth proportional to 474.18, 654.33 and 264.35 is: 364.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.18 : 654.33 = 264.35 : x
  2. Step 2: Convert to fraction form
    474.18/654.33 = 264.35/x
  3. Step 3: Cross multiply
    474.18x = 654.33 × 264.35
  4. Step 4: Simplify right side
    474.18x = 172,972.14
  5. Step 5: Solve for x
    x = 172,972.14/474.18
  6. Step 6: Final answer
    x = 364.78

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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.