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Finding the Fourth Proportional to 384.10, 575.52 and 239.52

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Solution

The fourth proportional to 384.10, 575.52 and 239.52 is: 358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.10 : 575.52 = 239.52 : x
  2. Step 2: Convert to fraction form
    384.10/575.52 = 239.52/x
  3. Step 3: Cross multiply
    384.10x = 575.52 × 239.52
  4. Step 4: Simplify right side
    384.10x = 137,848.55
  5. Step 5: Solve for x
    x = 137,848.55/384.10
  6. Step 6: Final answer
    x = 358.89

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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.