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Finding the Fourth Proportional to 356.04, 532.80 and 219.12

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Solution

The fourth proportional to 356.04, 532.80 and 219.12 is: 327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.04 : 532.80 = 219.12 : x
  2. Step 2: Convert to fraction form
    356.04/532.80 = 219.12/x
  3. Step 3: Cross multiply
    356.04x = 532.80 × 219.12
  4. Step 4: Simplify right side
    356.04x = 116,747.14
  5. Step 5: Solve for x
    x = 116,747.14/356.04
  6. Step 6: Final answer
    x = 327.90

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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.