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Finding the Fourth Proportional to 633.39, 874.23 and 400.47

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Solution

The fourth proportional to 633.39, 874.23 and 400.47 is: 552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.39 : 874.23 = 400.47 : x
  2. Step 2: Convert to fraction form
    633.39/874.23 = 400.47/x
  3. Step 3: Cross multiply
    633.39x = 874.23 × 400.47
  4. Step 4: Simplify right side
    633.39x = 350,102.89
  5. Step 5: Solve for x
    x = 350,102.89/633.39
  6. Step 6: Final answer
    x = 552.74

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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.