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Finding the Fourth Proportional to 558.99, 838.42 and 285.28

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Solution

The fourth proportional to 558.99, 838.42 and 285.28 is: 427.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.99 : 838.42 = 285.28 : x
  2. Step 2: Convert to fraction form
    558.99/838.42 = 285.28/x
  3. Step 3: Cross multiply
    558.99x = 838.42 × 285.28
  4. Step 4: Simplify right side
    558.99x = 239,181.65
  5. Step 5: Solve for x
    x = 239,181.65/558.99
  6. Step 6: Final answer
    x = 427.88

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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.