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Finding the Fourth Proportional to 456.71, 684.94 and 179.02

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Solution

The fourth proportional to 456.71, 684.94 and 179.02 is: 268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.71 : 684.94 = 179.02 : x
  2. Step 2: Convert to fraction form
    456.71/684.94 = 179.02/x
  3. Step 3: Cross multiply
    456.71x = 684.94 × 179.02
  4. Step 4: Simplify right side
    456.71x = 122,617.96
  5. Step 5: Solve for x
    x = 122,617.96/456.71
  6. Step 6: Final answer
    x = 268.48

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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.