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Finding the Fourth Proportional to 633.61, 874 and 468.25

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Solution

The fourth proportional to 633.61, 874 and 468.25 is: 645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.61 : 874 = 468.25 : x
  2. Step 2: Convert to fraction form
    633.61/874 = 468.25/x
  3. Step 3: Cross multiply
    633.61x = 874 × 468.25
  4. Step 4: Simplify right side
    633.61x = 409,250.50
  5. Step 5: Solve for x
    x = 409,250.50/633.61
  6. Step 6: Final answer
    x = 645.90

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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.