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Finding the Fourth Proportional to 559.16, 839.10 and 285.56

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Solution

The fourth proportional to 559.16, 839.10 and 285.56 is: 428.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.16 : 839.10 = 285.56 : x
  2. Step 2: Convert to fraction form
    559.16/839.10 = 285.56/x
  3. Step 3: Cross multiply
    559.16x = 839.10 × 285.56
  4. Step 4: Simplify right side
    559.16x = 239,613.40
  5. Step 5: Solve for x
    x = 239,613.40/559.16
  6. Step 6: Final answer
    x = 428.52

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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.