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Finding the Fourth Proportional to 676.28, 933.30 and 414.26

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Solution

The fourth proportional to 676.28, 933.30 and 414.26 is: 571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.28 : 933.30 = 414.26 : x
  2. Step 2: Convert to fraction form
    676.28/933.30 = 414.26/x
  3. Step 3: Cross multiply
    676.28x = 933.30 × 414.26
  4. Step 4: Simplify right side
    676.28x = 386,628.86
  5. Step 5: Solve for x
    x = 386,628.86/676.28
  6. Step 6: Final answer
    x = 571.70

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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.