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Finding the Fourth Proportional to 384.39, 576.53 and 179.07

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Solution

The fourth proportional to 384.39, 576.53 and 179.07 is: 268.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.39 : 576.53 = 179.07 : x
  2. Step 2: Convert to fraction form
    384.39/576.53 = 179.07/x
  3. Step 3: Cross multiply
    384.39x = 576.53 × 179.07
  4. Step 4: Simplify right side
    384.39x = 103,238.33
  5. Step 5: Solve for x
    x = 103,238.33/384.39
  6. Step 6: Final answer
    x = 268.58

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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.