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Finding the Fourth Proportional to 633.62, 874.09 and 412.49

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Solution

The fourth proportional to 633.62, 874.09 and 412.49 is: 569.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.62 : 874.09 = 412.49 : x
  2. Step 2: Convert to fraction form
    633.62/874.09 = 412.49/x
  3. Step 3: Cross multiply
    633.62x = 874.09 × 412.49
  4. Step 4: Simplify right side
    633.62x = 360,547.98
  5. Step 5: Solve for x
    x = 360,547.98/633.62
  6. Step 6: Final answer
    x = 569.03

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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.