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Finding the Fourth Proportional to 565.82, 846.47 and 489.61

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Solution

The fourth proportional to 565.82, 846.47 and 489.61 is: 732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.82 : 846.47 = 489.61 : x
  2. Step 2: Convert to fraction form
    565.82/846.47 = 489.61/x
  3. Step 3: Cross multiply
    565.82x = 846.47 × 489.61
  4. Step 4: Simplify right side
    565.82x = 414,440.18
  5. Step 5: Solve for x
    x = 414,440.18/565.82
  6. Step 6: Final answer
    x = 732.46

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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.