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Finding the Fourth Proportional to 382, 527.52 and 278.32

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Solution

The fourth proportional to 382, 527.52 and 278.32 is: 384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    382 : 527.52 = 278.32 : x
  2. Step 2: Convert to fraction form
    382/527.52 = 278.32/x
  3. Step 3: Cross multiply
    382x = 527.52 × 278.32
  4. Step 4: Simplify right side
    382x = 146,819.37
  5. Step 5: Solve for x
    x = 146,819.37/382
  6. Step 6: Final answer
    x = 384.34

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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.