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Finding the Fourth Proportional to 676.31, 933.35 and 414.35

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Solution

The fourth proportional to 676.31, 933.35 and 414.35 is: 571.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.31 : 933.35 = 414.35 : x
  2. Step 2: Convert to fraction form
    676.31/933.35 = 414.35/x
  3. Step 3: Cross multiply
    676.31x = 933.35 × 414.35
  4. Step 4: Simplify right side
    676.31x = 386,733.57
  5. Step 5: Solve for x
    x = 386,733.57/676.31
  6. Step 6: Final answer
    x = 571.83

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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.