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Finding the Fourth Proportional to 461.08, 690.94 and 278.16

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Solution

The fourth proportional to 461.08, 690.94 and 278.16 is: 416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.08 : 690.94 = 278.16 : x
  2. Step 2: Convert to fraction form
    461.08/690.94 = 278.16/x
  3. Step 3: Cross multiply
    461.08x = 690.94 × 278.16
  4. Step 4: Simplify right side
    461.08x = 192,191.87
  5. Step 5: Solve for x
    x = 192,191.87/461.08
  6. Step 6: Final answer
    x = 416.83

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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.