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Finding the Fourth Proportional to 504.50, 752.83 and 489.92

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Solution

The fourth proportional to 504.50, 752.83 and 489.92 is: 731.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.50 : 752.83 = 489.92 : x
  2. Step 2: Convert to fraction form
    504.50/752.83 = 489.92/x
  3. Step 3: Cross multiply
    504.50x = 752.83 × 489.92
  4. Step 4: Simplify right side
    504.50x = 368,821.48
  5. Step 5: Solve for x
    x = 368,821.48/504.50
  6. Step 6: Final answer
    x = 731.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.