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Finding the Fourth Proportional to 492.68, 679.95 and 282.92

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Solution

The fourth proportional to 492.68, 679.95 and 282.92 is: 390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.68 : 679.95 = 282.92 : x
  2. Step 2: Convert to fraction form
    492.68/679.95 = 282.92/x
  3. Step 3: Cross multiply
    492.68x = 679.95 × 282.92
  4. Step 4: Simplify right side
    492.68x = 192,373.15
  5. Step 5: Solve for x
    x = 192,373.15/492.68
  6. Step 6: Final answer
    x = 390.46

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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.