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Finding the Fourth Proportional to 645.78, 969.50 and 337.85

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Solution

The fourth proportional to 645.78, 969.50 and 337.85 is: 507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.78 : 969.50 = 337.85 : x
  2. Step 2: Convert to fraction form
    645.78/969.50 = 337.85/x
  3. Step 3: Cross multiply
    645.78x = 969.50 × 337.85
  4. Step 4: Simplify right side
    645.78x = 327,545.58
  5. Step 5: Solve for x
    x = 327,545.58/645.78
  6. Step 6: Final answer
    x = 507.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.