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Finding the Fourth Proportional to 565.90, 848.84 and 200.69

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Solution

The fourth proportional to 565.90, 848.84 and 200.69 is: 301.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.90 : 848.84 = 200.69 : x
  2. Step 2: Convert to fraction form
    565.90/848.84 = 200.69/x
  3. Step 3: Cross multiply
    565.90x = 848.84 × 200.69
  4. Step 4: Simplify right side
    565.90x = 170,357.76
  5. Step 5: Solve for x
    x = 170,357.76/565.90
  6. Step 6: Final answer
    x = 301.04

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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.