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Finding the Fourth Proportional to 492, 679.02 and 282.24

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Solution

The fourth proportional to 492, 679.02 and 282.24 is: 389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    492 : 679.02 = 282.24 : x
  2. Step 2: Convert to fraction form
    492/679.02 = 282.24/x
  3. Step 3: Cross multiply
    492x = 679.02 × 282.24
  4. Step 4: Simplify right side
    492x = 191,646.60
  5. Step 5: Solve for x
    x = 191,646.60/492
  6. Step 6: Final answer
    x = 389.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.