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Finding the Fourth Proportional to 558.42, 837.30 and 490.08

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Solution

The fourth proportional to 558.42, 837.30 and 490.08 is: 734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.42 : 837.30 = 490.08 : x
  2. Step 2: Convert to fraction form
    558.42/837.30 = 490.08/x
  3. Step 3: Cross multiply
    558.42x = 837.30 × 490.08
  4. Step 4: Simplify right side
    558.42x = 410,343.98
  5. Step 5: Solve for x
    x = 410,343.98/558.42
  6. Step 6: Final answer
    x = 734.83

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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.