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Finding the Fourth Proportional to 651.18, 974.34 and 433.56

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Solution

The fourth proportional to 651.18, 974.34 and 433.56 is: 648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.18 : 974.34 = 433.56 : x
  2. Step 2: Convert to fraction form
    651.18/974.34 = 433.56/x
  3. Step 3: Cross multiply
    651.18x = 974.34 × 433.56
  4. Step 4: Simplify right side
    651.18x = 422,434.85
  5. Step 5: Solve for x
    x = 422,434.85/651.18
  6. Step 6: Final answer
    x = 648.72

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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.