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Finding the Fourth Proportional to 487.81, 732.22 and 282.78

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Solution

The fourth proportional to 487.81, 732.22 and 282.78 is: 424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.81 : 732.22 = 282.78 : x
  2. Step 2: Convert to fraction form
    487.81/732.22 = 282.78/x
  3. Step 3: Cross multiply
    487.81x = 732.22 × 282.78
  4. Step 4: Simplify right side
    487.81x = 207,053.37
  5. Step 5: Solve for x
    x = 207,053.37/487.81
  6. Step 6: Final answer
    x = 424.46

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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.