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Finding the Fourth Proportional to 456.64, 684.09 and 271.15

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Solution

The fourth proportional to 456.64, 684.09 and 271.15 is: 406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.64 : 684.09 = 271.15 : x
  2. Step 2: Convert to fraction form
    456.64/684.09 = 271.15/x
  3. Step 3: Cross multiply
    456.64x = 684.09 × 271.15
  4. Step 4: Simplify right side
    456.64x = 185,486.91
  5. Step 5: Solve for x
    x = 185,486.91/456.64
  6. Step 6: Final answer
    x = 406.20

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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.