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Finding the Fourth Proportional to 633.30, 872.01 and 597.26

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Solution

The fourth proportional to 633.30, 872.01 and 597.26 is: 822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.30 : 872.01 = 597.26 : x
  2. Step 2: Convert to fraction form
    633.30/872.01 = 597.26/x
  3. Step 3: Cross multiply
    633.30x = 872.01 × 597.26
  4. Step 4: Simplify right side
    633.30x = 520,812.33
  5. Step 5: Solve for x
    x = 520,812.33/633.30
  6. Step 6: Final answer
    x = 822.38

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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.