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Finding the Fourth Proportional to 565.83, 848.24 and 200.57

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Solution

The fourth proportional to 565.83, 848.24 and 200.57 is: 300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.83 : 848.24 = 200.57 : x
  2. Step 2: Convert to fraction form
    565.83/848.24 = 200.57/x
  3. Step 3: Cross multiply
    565.83x = 848.24 × 200.57
  4. Step 4: Simplify right side
    565.83x = 170,134.12
  5. Step 5: Solve for x
    x = 170,134.12/565.83
  6. Step 6: Final answer
    x = 300.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.