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Finding the Fourth Proportional to 633.95, 874.82 and 468.11

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Solution

The fourth proportional to 633.95, 874.82 and 468.11 is: 645.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.95 : 874.82 = 468.11 : x
  2. Step 2: Convert to fraction form
    633.95/874.82 = 468.11/x
  3. Step 3: Cross multiply
    633.95x = 874.82 × 468.11
  4. Step 4: Simplify right side
    633.95x = 409,511.99
  5. Step 5: Solve for x
    x = 409,511.99/633.95
  6. Step 6: Final answer
    x = 645.97

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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.