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Finding the Fourth Proportional to 618.86, 928.23 and 446.34

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Solution

The fourth proportional to 618.86, 928.23 and 446.34 is: 669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.86 : 928.23 = 446.34 : x
  2. Step 2: Convert to fraction form
    618.86/928.23 = 446.34/x
  3. Step 3: Cross multiply
    618.86x = 928.23 × 446.34
  4. Step 4: Simplify right side
    618.86x = 414,306.18
  5. Step 5: Solve for x
    x = 414,306.18/618.86
  6. Step 6: Final answer
    x = 669.47

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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.