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Finding the Fourth Proportional to 339.65, 505.72 and 319.61

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Solution

The fourth proportional to 339.65, 505.72 and 319.61 is: 475.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.65 : 505.72 = 319.61 : x
  2. Step 2: Convert to fraction form
    339.65/505.72 = 319.61/x
  3. Step 3: Cross multiply
    339.65x = 505.72 × 319.61
  4. Step 4: Simplify right side
    339.65x = 161,633.17
  5. Step 5: Solve for x
    x = 161,633.17/339.65
  6. Step 6: Final answer
    x = 475.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.