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Finding the Fourth Proportional to 375.52, 519.06 and 288.58

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Solution

The fourth proportional to 375.52, 519.06 and 288.58 is: 398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.52 : 519.06 = 288.58 : x
  2. Step 2: Convert to fraction form
    375.52/519.06 = 288.58/x
  3. Step 3: Cross multiply
    375.52x = 519.06 × 288.58
  4. Step 4: Simplify right side
    375.52x = 149,790.33
  5. Step 5: Solve for x
    x = 149,790.33/375.52
  6. Step 6: Final answer
    x = 398.89

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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.