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Finding the Fourth Proportional to 456.95, 684.92 and 179.24

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Solution

The fourth proportional to 456.95, 684.92 and 179.24 is: 268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.95 : 684.92 = 179.24 : x
  2. Step 2: Convert to fraction form
    456.95/684.92 = 179.24/x
  3. Step 3: Cross multiply
    456.95x = 684.92 × 179.24
  4. Step 4: Simplify right side
    456.95x = 122,760.74
  5. Step 5: Solve for x
    x = 122,760.74/456.95
  6. Step 6: Final answer
    x = 268.66

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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.