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Finding the Fourth Proportional to 676.94, 934.12 and 414.95

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Solution

The fourth proportional to 676.94, 934.12 and 414.95 is: 572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.94 : 934.12 = 414.95 : x
  2. Step 2: Convert to fraction form
    676.94/934.12 = 414.95/x
  3. Step 3: Cross multiply
    676.94x = 934.12 × 414.95
  4. Step 4: Simplify right side
    676.94x = 387,613.09
  5. Step 5: Solve for x
    x = 387,613.09/676.94
  6. Step 6: Final answer
    x = 572.60

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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.