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Finding the Fourth Proportional to 633.78, 874.35 and 368.17

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Solution

The fourth proportional to 633.78, 874.35 and 368.17 is: 507.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.78 : 874.35 = 368.17 : x
  2. Step 2: Convert to fraction form
    633.78/874.35 = 368.17/x
  3. Step 3: Cross multiply
    633.78x = 874.35 × 368.17
  4. Step 4: Simplify right side
    633.78x = 321,909.44
  5. Step 5: Solve for x
    x = 321,909.44/633.78
  6. Step 6: Final answer
    x = 507.92

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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.