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Finding the Fourth Proportional to 558.04, 769.62 and 426.76

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Solution

The fourth proportional to 558.04, 769.62 and 426.76 is: 588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.04 : 769.62 = 426.76 : x
  2. Step 2: Convert to fraction form
    558.04/769.62 = 426.76/x
  3. Step 3: Cross multiply
    558.04x = 769.62 × 426.76
  4. Step 4: Simplify right side
    558.04x = 328,443.03
  5. Step 5: Solve for x
    x = 328,443.03/558.04
  6. Step 6: Final answer
    x = 588.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.