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Finding the Fourth Proportional to 618.87, 928.32 and 253.77

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Solution

The fourth proportional to 618.87, 928.32 and 253.77 is: 380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.87 : 928.32 = 253.77 : x
  2. Step 2: Convert to fraction form
    618.87/928.32 = 253.77/x
  3. Step 3: Cross multiply
    618.87x = 928.32 × 253.77
  4. Step 4: Simplify right side
    618.87x = 235,579.77
  5. Step 5: Solve for x
    x = 235,579.77/618.87
  6. Step 6: Final answer
    x = 380.66

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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.