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Finding the Fourth Proportional to 633.57, 874.30 and 412.93

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Solution

The fourth proportional to 633.57, 874.30 and 412.93 is: 569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.57 : 874.30 = 412.93 : x
  2. Step 2: Convert to fraction form
    633.57/874.30 = 412.93/x
  3. Step 3: Cross multiply
    633.57x = 874.30 × 412.93
  4. Step 4: Simplify right side
    633.57x = 361,024.70
  5. Step 5: Solve for x
    x = 361,024.70/633.57
  6. Step 6: Final answer
    x = 569.83

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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.