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Finding the Fourth Proportional to 633.36, 873.66 and 468

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Solution

The fourth proportional to 633.36, 873.66 and 468 is: 645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.36 : 873.66 = 468 : x
  2. Step 2: Convert to fraction form
    633.36/873.66 = 468/x
  3. Step 3: Cross multiply
    633.36x = 873.66 × 468
  4. Step 4: Simplify right side
    633.36x = 408,872.88
  5. Step 5: Solve for x
    x = 408,872.88/633.36
  6. Step 6: Final answer
    x = 645.56

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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.