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Finding the Fourth Proportional to 489, 732.05 and 282.93

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Solution

The fourth proportional to 489, 732.05 and 282.93 is: 423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    489 : 732.05 = 282.93 : x
  2. Step 2: Convert to fraction form
    489/732.05 = 282.93/x
  3. Step 3: Cross multiply
    489x = 732.05 × 282.93
  4. Step 4: Simplify right side
    489x = 207,117.49
  5. Step 5: Solve for x
    x = 207,117.49/489
  6. Step 6: Final answer
    x = 423.55

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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.