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Finding the Fourth Proportional to 559.08, 837.72 and 342.27

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Solution

The fourth proportional to 559.08, 837.72 and 342.27 is: 512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.08 : 837.72 = 342.27 : x
  2. Step 2: Convert to fraction form
    559.08/837.72 = 342.27/x
  3. Step 3: Cross multiply
    559.08x = 837.72 × 342.27
  4. Step 4: Simplify right side
    559.08x = 286,726.42
  5. Step 5: Solve for x
    x = 286,726.42/559.08
  6. Step 6: Final answer
    x = 512.85

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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.