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Finding the Fourth Proportional to 407.84, 611.69 and 115.36

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Solution

The fourth proportional to 407.84, 611.69 and 115.36 is: 173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.84 : 611.69 = 115.36 : x
  2. Step 2: Convert to fraction form
    407.84/611.69 = 115.36/x
  3. Step 3: Cross multiply
    407.84x = 611.69 × 115.36
  4. Step 4: Simplify right side
    407.84x = 70,564.85
  5. Step 5: Solve for x
    x = 70,564.85/407.84
  6. Step 6: Final answer
    x = 173.02

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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.