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Finding the Fourth Proportional to 319.89, 479.13 and 261.10

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Solution

The fourth proportional to 319.89, 479.13 and 261.10 is: 391.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.89 : 479.13 = 261.10 : x
  2. Step 2: Convert to fraction form
    319.89/479.13 = 261.10/x
  3. Step 3: Cross multiply
    319.89x = 479.13 × 261.10
  4. Step 4: Simplify right side
    319.89x = 125,101.93
  5. Step 5: Solve for x
    x = 125,101.93/319.89
  6. Step 6: Final answer
    x = 391.07

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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.