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Finding the Fourth Proportional to 561.85, 843.12 and 356.14

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Solution

The fourth proportional to 561.85, 843.12 and 356.14 is: 534.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.85 : 843.12 = 356.14 : x
  2. Step 2: Convert to fraction form
    561.85/843.12 = 356.14/x
  3. Step 3: Cross multiply
    561.85x = 843.12 × 356.14
  4. Step 4: Simplify right side
    561.85x = 300,268.76
  5. Step 5: Solve for x
    x = 300,268.76/561.85
  6. Step 6: Final answer
    x = 534.43

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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.