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Finding the Fourth Proportional to 407.39, 611.08 and 99.23

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Solution

The fourth proportional to 407.39, 611.08 and 99.23 is: 148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.39 : 611.08 = 99.23 : x
  2. Step 2: Convert to fraction form
    407.39/611.08 = 99.23/x
  3. Step 3: Cross multiply
    407.39x = 611.08 × 99.23
  4. Step 4: Simplify right side
    407.39x = 60,636.97
  5. Step 5: Solve for x
    x = 60,636.97/407.39
  6. Step 6: Final answer
    x = 148.84

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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.