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Finding the Fourth Proportional to 409.39, 613.73 and 178.10

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Solution

The fourth proportional to 409.39, 613.73 and 178.10 is: 267.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.39 : 613.73 = 178.10 : x
  2. Step 2: Convert to fraction form
    409.39/613.73 = 178.10/x
  3. Step 3: Cross multiply
    409.39x = 613.73 × 178.10
  4. Step 4: Simplify right side
    409.39x = 109,305.31
  5. Step 5: Solve for x
    x = 109,305.31/409.39
  6. Step 6: Final answer
    x = 267.00

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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.