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Finding the Fourth Proportional to 379.59, 524.01 and 239.77

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Solution

The fourth proportional to 379.59, 524.01 and 239.77 is: 330.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.59 : 524.01 = 239.77 : x
  2. Step 2: Convert to fraction form
    379.59/524.01 = 239.77/x
  3. Step 3: Cross multiply
    379.59x = 524.01 × 239.77
  4. Step 4: Simplify right side
    379.59x = 125,641.88
  5. Step 5: Solve for x
    x = 125,641.88/379.59
  6. Step 6: Final answer
    x = 330.99

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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.