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Finding the Fourth Proportional to 340.08, 510.20 and 219.12

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Solution

The fourth proportional to 340.08, 510.20 and 219.12 is: 328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.08 : 510.20 = 219.12 : x
  2. Step 2: Convert to fraction form
    340.08/510.20 = 219.12/x
  3. Step 3: Cross multiply
    340.08x = 510.20 × 219.12
  4. Step 4: Simplify right side
    340.08x = 111,795.02
  5. Step 5: Solve for x
    x = 111,795.02/340.08
  6. Step 6: Final answer
    x = 328.73

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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.