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Finding the Fourth Proportional to 462.90, 693.82 and 219.08

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Solution

The fourth proportional to 462.90, 693.82 and 219.08 is: 328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.90 : 693.82 = 219.08 : x
  2. Step 2: Convert to fraction form
    462.90/693.82 = 219.08/x
  3. Step 3: Cross multiply
    462.90x = 693.82 × 219.08
  4. Step 4: Simplify right side
    462.90x = 152,002.09
  5. Step 5: Solve for x
    x = 152,002.09/462.90
  6. Step 6: Final answer
    x = 328.37

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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.