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Finding the Fourth Proportional to 558.76, 771.24 and 362.29

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Solution

The fourth proportional to 558.76, 771.24 and 362.29 is: 500.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.76 : 771.24 = 362.29 : x
  2. Step 2: Convert to fraction form
    558.76/771.24 = 362.29/x
  3. Step 3: Cross multiply
    558.76x = 771.24 × 362.29
  4. Step 4: Simplify right side
    558.76x = 279,412.54
  5. Step 5: Solve for x
    x = 279,412.54/558.76
  6. Step 6: Final answer
    x = 500.06

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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.