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Finding the Fourth Proportional to 618.76, 928.78 and 267.40

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Solution

The fourth proportional to 618.76, 928.78 and 267.40 is: 401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.76 : 928.78 = 267.40 : x
  2. Step 2: Convert to fraction form
    618.76/928.78 = 267.40/x
  3. Step 3: Cross multiply
    618.76x = 928.78 × 267.40
  4. Step 4: Simplify right side
    618.76x = 248,355.77
  5. Step 5: Solve for x
    x = 248,355.77/618.76
  6. Step 6: Final answer
    x = 401.38

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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.