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Finding the Fourth Proportional to 492.47, 679.71 and 282.63

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Solution

The fourth proportional to 492.47, 679.71 and 282.63 is: 390.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.47 : 679.71 = 282.63 : x
  2. Step 2: Convert to fraction form
    492.47/679.71 = 282.63/x
  3. Step 3: Cross multiply
    492.47x = 679.71 × 282.63
  4. Step 4: Simplify right side
    492.47x = 192,106.44
  5. Step 5: Solve for x
    x = 192,106.44/492.47
  6. Step 6: Final answer
    x = 390.09

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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.