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Finding the Fourth Proportional to 492.63, 679.92 and 282.83

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Solution

The fourth proportional to 492.63, 679.92 and 282.83 is: 390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.63 : 679.92 = 282.83 : x
  2. Step 2: Convert to fraction form
    492.63/679.92 = 282.83/x
  3. Step 3: Cross multiply
    492.63x = 679.92 × 282.83
  4. Step 4: Simplify right side
    492.63x = 192,298.37
  5. Step 5: Solve for x
    x = 192,298.37/492.63
  6. Step 6: Final answer
    x = 390.35

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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.