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Finding the Fourth Proportional to 676.02, 932.45 and 414.17

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Solution

The fourth proportional to 676.02, 932.45 and 414.17 is: 571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.02 : 932.45 = 414.17 : x
  2. Step 2: Convert to fraction form
    676.02/932.45 = 414.17/x
  3. Step 3: Cross multiply
    676.02x = 932.45 × 414.17
  4. Step 4: Simplify right side
    676.02x = 386,186.08
  5. Step 5: Solve for x
    x = 386,186.08/676.02
  6. Step 6: Final answer
    x = 571.26

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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.