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Finding the Fourth Proportional to 618.67, 928 and 446.44

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Solution

The fourth proportional to 618.67, 928 and 446.44 is: 669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.67 : 928 = 446.44 : x
  2. Step 2: Convert to fraction form
    618.67/928 = 446.44/x
  3. Step 3: Cross multiply
    618.67x = 928 × 446.44
  4. Step 4: Simplify right side
    618.67x = 414,296.32
  5. Step 5: Solve for x
    x = 414,296.32/618.67
  6. Step 6: Final answer
    x = 669.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.