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Finding the Fourth Proportional to 676.30, 933.66 and 410.78

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Solution

The fourth proportional to 676.30, 933.66 and 410.78 is: 567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.30 : 933.66 = 410.78 : x
  2. Step 2: Convert to fraction form
    676.30/933.66 = 410.78/x
  3. Step 3: Cross multiply
    676.30x = 933.66 × 410.78
  4. Step 4: Simplify right side
    676.30x = 383,528.85
  5. Step 5: Solve for x
    x = 383,528.85/676.30
  6. Step 6: Final answer
    x = 567.10

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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.