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Finding the Fourth Proportional to 401.36, 602.76 and 344.08

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Solution

The fourth proportional to 401.36, 602.76 and 344.08 is: 516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.36 : 602.76 = 344.08 : x
  2. Step 2: Convert to fraction form
    401.36/602.76 = 344.08/x
  3. Step 3: Cross multiply
    401.36x = 602.76 × 344.08
  4. Step 4: Simplify right side
    401.36x = 207,397.66
  5. Step 5: Solve for x
    x = 207,397.66/401.36
  6. Step 6: Final answer
    x = 516.74

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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.