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Finding the Fourth Proportional to 354.62, 532.33 and 277.66

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Solution

The fourth proportional to 354.62, 532.33 and 277.66 is: 416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.62 : 532.33 = 277.66 : x
  2. Step 2: Convert to fraction form
    354.62/532.33 = 277.66/x
  3. Step 3: Cross multiply
    354.62x = 532.33 × 277.66
  4. Step 4: Simplify right side
    354.62x = 147,806.75
  5. Step 5: Solve for x
    x = 147,806.75/354.62
  6. Step 6: Final answer
    x = 416.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.