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Finding the Fourth Proportional to 407.12, 610.70 and 114.64

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Solution

The fourth proportional to 407.12, 610.70 and 114.64 is: 171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.12 : 610.70 = 114.64 : x
  2. Step 2: Convert to fraction form
    407.12/610.70 = 114.64/x
  3. Step 3: Cross multiply
    407.12x = 610.70 × 114.64
  4. Step 4: Simplify right side
    407.12x = 70,013.06
  5. Step 5: Solve for x
    x = 70,013.06/407.12
  6. Step 6: Final answer
    x = 171.97

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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.