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Finding the Fourth Proportional to 500.44, 691.16 and 342.80

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Solution

The fourth proportional to 500.44, 691.16 and 342.80 is: 473.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.44 : 691.16 = 342.80 : x
  2. Step 2: Convert to fraction form
    500.44/691.16 = 342.80/x
  3. Step 3: Cross multiply
    500.44x = 691.16 × 342.80
  4. Step 4: Simplify right side
    500.44x = 236,929.65
  5. Step 5: Solve for x
    x = 236,929.65/500.44
  6. Step 6: Final answer
    x = 473.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.