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Finding the Fourth Proportional to 559.24, 771.50 and 362.76

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Solution

The fourth proportional to 559.24, 771.50 and 362.76 is: 500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.24 : 771.50 = 362.76 : x
  2. Step 2: Convert to fraction form
    559.24/771.50 = 362.76/x
  3. Step 3: Cross multiply
    559.24x = 771.50 × 362.76
  4. Step 4: Simplify right side
    559.24x = 279,869.34
  5. Step 5: Solve for x
    x = 279,869.34/559.24
  6. Step 6: Final answer
    x = 500.45

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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.