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Finding the Fourth Proportional to 633.66, 948.15 and 385.92

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Solution

The fourth proportional to 633.66, 948.15 and 385.92 is: 577.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.66 : 948.15 = 385.92 : x
  2. Step 2: Convert to fraction form
    633.66/948.15 = 385.92/x
  3. Step 3: Cross multiply
    633.66x = 948.15 × 385.92
  4. Step 4: Simplify right side
    633.66x = 365,910.05
  5. Step 5: Solve for x
    x = 365,910.05/633.66
  6. Step 6: Final answer
    x = 577.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.