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Finding the Fourth Proportional to 676.20, 933.17 and 410.57

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Solution

The fourth proportional to 676.20, 933.17 and 410.57 is: 566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.20 : 933.17 = 410.57 : x
  2. Step 2: Convert to fraction form
    676.20/933.17 = 410.57/x
  3. Step 3: Cross multiply
    676.20x = 933.17 × 410.57
  4. Step 4: Simplify right side
    676.20x = 383,124.89
  5. Step 5: Solve for x
    x = 383,124.89/676.20
  6. Step 6: Final answer
    x = 566.59

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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.