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Finding the Fourth Proportional to 472.88, 652.54 and 354.62

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Solution

The fourth proportional to 472.88, 652.54 and 354.62 is: 489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.88 : 652.54 = 354.62 : x
  2. Step 2: Convert to fraction form
    472.88/652.54 = 354.62/x
  3. Step 3: Cross multiply
    472.88x = 652.54 × 354.62
  4. Step 4: Simplify right side
    472.88x = 231,403.73
  5. Step 5: Solve for x
    x = 231,403.73/472.88
  6. Step 6: Final answer
    x = 489.35

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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.