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Finding the Fourth Proportional to 565.74, 848 and 200.28

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Solution

The fourth proportional to 565.74, 848 and 200.28 is: 300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.74 : 848 = 200.28 : x
  2. Step 2: Convert to fraction form
    565.74/848 = 200.28/x
  3. Step 3: Cross multiply
    565.74x = 848 × 200.28
  4. Step 4: Simplify right side
    565.74x = 169,837.44
  5. Step 5: Solve for x
    x = 169,837.44/565.74
  6. Step 6: Final answer
    x = 300.20

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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.