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Finding the Fourth Proportional to 633.34, 874.19 and 412.37

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Solution

The fourth proportional to 633.34, 874.19 and 412.37 is: 569.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.34 : 874.19 = 412.37 : x
  2. Step 2: Convert to fraction form
    633.34/874.19 = 412.37/x
  3. Step 3: Cross multiply
    633.34x = 874.19 × 412.37
  4. Step 4: Simplify right side
    633.34x = 360,487.21
  5. Step 5: Solve for x
    x = 360,487.21/633.34
  6. Step 6: Final answer
    x = 569.18

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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.