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Finding the Fourth Proportional to 565.49, 848.18 and 218.62

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Solution

The fourth proportional to 565.49, 848.18 and 218.62 is: 327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.49 : 848.18 = 218.62 : x
  2. Step 2: Convert to fraction form
    565.49/848.18 = 218.62/x
  3. Step 3: Cross multiply
    565.49x = 848.18 × 218.62
  4. Step 4: Simplify right side
    565.49x = 185,425.42
  5. Step 5: Solve for x
    x = 185,425.42/565.49
  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.