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Finding the Fourth Proportional to 558.59, 836.33 and 284.09

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Solution

The fourth proportional to 558.59, 836.33 and 284.09 is: 425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.59 : 836.33 = 284.09 : x
  2. Step 2: Convert to fraction form
    558.59/836.33 = 284.09/x
  3. Step 3: Cross multiply
    558.59x = 836.33 × 284.09
  4. Step 4: Simplify right side
    558.59x = 237,592.99
  5. Step 5: Solve for x
    x = 237,592.99/558.59
  6. Step 6: Final answer
    x = 425.34

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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.