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Finding the Fourth Proportional to 676.48, 933.45 and 414.44

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Solution

The fourth proportional to 676.48, 933.45 and 414.44 is: 571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.48 : 933.45 = 414.44 : x
  2. Step 2: Convert to fraction form
    676.48/933.45 = 414.44/x
  3. Step 3: Cross multiply
    676.48x = 933.45 × 414.44
  4. Step 4: Simplify right side
    676.48x = 386,859.02
  5. Step 5: Solve for x
    x = 386,859.02/676.48
  6. Step 6: Final answer
    x = 571.87

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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.