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Finding the Fourth Proportional to 676.14, 932.46 and 414.06

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Solution

The fourth proportional to 676.14, 932.46 and 414.06 is: 571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.14 : 932.46 = 414.06 : x
  2. Step 2: Convert to fraction form
    676.14/932.46 = 414.06/x
  3. Step 3: Cross multiply
    676.14x = 932.46 × 414.06
  4. Step 4: Simplify right side
    676.14x = 386,094.39
  5. Step 5: Solve for x
    x = 386,094.39/676.14
  6. Step 6: Final answer
    x = 571.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.