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Finding the Fourth Proportional to 524.39, 790.53 and 489.16

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Solution

The fourth proportional to 524.39, 790.53 and 489.16 is: 737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.39 : 790.53 = 489.16 : x
  2. Step 2: Convert to fraction form
    524.39/790.53 = 489.16/x
  3. Step 3: Cross multiply
    524.39x = 790.53 × 489.16
  4. Step 4: Simplify right side
    524.39x = 386,695.65
  5. Step 5: Solve for x
    x = 386,695.65/524.39
  6. Step 6: Final answer
    x = 737.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.