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Finding the Fourth Proportional to 676.97, 934.16 and 414.93

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Solution

The fourth proportional to 676.97, 934.16 and 414.93 is: 572.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.97 : 934.16 = 414.93 : x
  2. Step 2: Convert to fraction form
    676.97/934.16 = 414.93/x
  3. Step 3: Cross multiply
    676.97x = 934.16 × 414.93
  4. Step 4: Simplify right side
    676.97x = 387,608.93
  5. Step 5: Solve for x
    x = 387,608.93/676.97
  6. Step 6: Final answer
    x = 572.57

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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.