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Finding the Fourth Proportional to 633.56, 874.36 and 412.54

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Solution

The fourth proportional to 633.56, 874.36 and 412.54 is: 569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.56 : 874.36 = 412.54 : x
  2. Step 2: Convert to fraction form
    633.56/874.36 = 412.54/x
  3. Step 3: Cross multiply
    633.56x = 874.36 × 412.54
  4. Step 4: Simplify right side
    633.56x = 360,708.47
  5. Step 5: Solve for x
    x = 360,708.47/633.56
  6. Step 6: Final answer
    x = 569.34

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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.