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Finding the Fourth Proportional to 461.77, 691.44 and 338.65

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Solution

The fourth proportional to 461.77, 691.44 and 338.65 is: 507.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.77 : 691.44 = 338.65 : x
  2. Step 2: Convert to fraction form
    461.77/691.44 = 338.65/x
  3. Step 3: Cross multiply
    461.77x = 691.44 × 338.65
  4. Step 4: Simplify right side
    461.77x = 234,156.16
  5. Step 5: Solve for x
    x = 234,156.16/461.77
  6. Step 6: Final answer
    x = 507.08

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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.