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Finding the Fourth Proportional to 559.13, 836.71 and 412.54

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Solution

The fourth proportional to 559.13, 836.71 and 412.54 is: 617.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.13 : 836.71 = 412.54 : x
  2. Step 2: Convert to fraction form
    559.13/836.71 = 412.54/x
  3. Step 3: Cross multiply
    559.13x = 836.71 × 412.54
  4. Step 4: Simplify right side
    559.13x = 345,176.34
  5. Step 5: Solve for x
    x = 345,176.34/559.13
  6. Step 6: Final answer
    x = 617.35

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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.