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Finding the Fourth Proportional to 340.64, 511.76 and 219.12

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Solution

The fourth proportional to 340.64, 511.76 and 219.12 is: 329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.64 : 511.76 = 219.12 : x
  2. Step 2: Convert to fraction form
    340.64/511.76 = 219.12/x
  3. Step 3: Cross multiply
    340.64x = 511.76 × 219.12
  4. Step 4: Simplify right side
    340.64x = 112,136.85
  5. Step 5: Solve for x
    x = 112,136.85/340.64
  6. Step 6: Final answer
    x = 329.19

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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.