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Finding the Fourth Proportional to 558.44, 837.64 and 284.64

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Solution

The fourth proportional to 558.44, 837.64 and 284.64 is: 426.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.44 : 837.64 = 284.64 : x
  2. Step 2: Convert to fraction form
    558.44/837.64 = 284.64/x
  3. Step 3: Cross multiply
    558.44x = 837.64 × 284.64
  4. Step 4: Simplify right side
    558.44x = 238,425.85
  5. Step 5: Solve for x
    x = 238,425.85/558.44
  6. Step 6: Final answer
    x = 426.95

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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.