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Finding the Fourth Proportional to 461.04, 691.20 and 406.32

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Solution

The fourth proportional to 461.04, 691.20 and 406.32 is: 609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.04 : 691.20 = 406.32 : x
  2. Step 2: Convert to fraction form
    461.04/691.20 = 406.32/x
  3. Step 3: Cross multiply
    461.04x = 691.20 × 406.32
  4. Step 4: Simplify right side
    461.04x = 280,848.38
  5. Step 5: Solve for x
    x = 280,848.38/461.04
  6. Step 6: Final answer
    x = 609.16

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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.