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Finding the Fourth Proportional to 558.18, 769.74 and 433.62

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Solution

The fourth proportional to 558.18, 769.74 and 433.62 is: 597.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.18 : 769.74 = 433.62 : x
  2. Step 2: Convert to fraction form
    558.18/769.74 = 433.62/x
  3. Step 3: Cross multiply
    558.18x = 769.74 × 433.62
  4. Step 4: Simplify right side
    558.18x = 333,774.66
  5. Step 5: Solve for x
    x = 333,774.66/558.18
  6. Step 6: Final answer
    x = 597.97

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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.