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Finding the Fourth Proportional to 483.62, 724.49 and 288.77

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Solution

The fourth proportional to 483.62, 724.49 and 288.77 is: 432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.62 : 724.49 = 288.77 : x
  2. Step 2: Convert to fraction form
    483.62/724.49 = 288.77/x
  3. Step 3: Cross multiply
    483.62x = 724.49 × 288.77
  4. Step 4: Simplify right side
    483.62x = 209,211.61
  5. Step 5: Solve for x
    x = 209,211.61/483.62
  6. Step 6: Final answer
    x = 432.60

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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.