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Finding the Fourth Proportional to 565.83, 848.42 and 219.11

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Solution

The fourth proportional to 565.83, 848.42 and 219.11 is: 328.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.83 : 848.42 = 219.11 : x
  2. Step 2: Convert to fraction form
    565.83/848.42 = 219.11/x
  3. Step 3: Cross multiply
    565.83x = 848.42 × 219.11
  4. Step 4: Simplify right side
    565.83x = 185,891.97
  5. Step 5: Solve for x
    x = 185,891.97/565.83
  6. Step 6: Final answer
    x = 328.53

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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.