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Finding the Fourth Proportional to 633.52, 874.01 and 412.39

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Solution

The fourth proportional to 633.52, 874.01 and 412.39 is: 568.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.52 : 874.01 = 412.39 : x
  2. Step 2: Convert to fraction form
    633.52/874.01 = 412.39/x
  3. Step 3: Cross multiply
    633.52x = 874.01 × 412.39
  4. Step 4: Simplify right side
    633.52x = 360,432.79
  5. Step 5: Solve for x
    x = 360,432.79/633.52
  6. Step 6: Final answer
    x = 568.94

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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.