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Finding the Fourth Proportional to 456.38, 684.69 and 261.47

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Solution

The fourth proportional to 456.38, 684.69 and 261.47 is: 392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.38 : 684.69 = 261.47 : x
  2. Step 2: Convert to fraction form
    456.38/684.69 = 261.47/x
  3. Step 3: Cross multiply
    456.38x = 684.69 × 261.47
  4. Step 4: Simplify right side
    456.38x = 179,026.63
  5. Step 5: Solve for x
    x = 179,026.63/456.38
  6. Step 6: Final answer
    x = 392.28

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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.