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Finding the Fourth Proportional to 565.75, 848.63 and 200.54

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Solution

The fourth proportional to 565.75, 848.63 and 200.54 is: 300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.75 : 848.63 = 200.54 : x
  2. Step 2: Convert to fraction form
    565.75/848.63 = 200.54/x
  3. Step 3: Cross multiply
    565.75x = 848.63 × 200.54
  4. Step 4: Simplify right side
    565.75x = 170,186.88
  5. Step 5: Solve for x
    x = 170,186.88/565.75
  6. Step 6: Final answer
    x = 300.82

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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.