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Finding the Fourth Proportional to 633.55, 874.16 and 367.90

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Solution

The fourth proportional to 633.55, 874.16 and 367.90 is: 507.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.55 : 874.16 = 367.90 : x
  2. Step 2: Convert to fraction form
    633.55/874.16 = 367.90/x
  3. Step 3: Cross multiply
    633.55x = 874.16 × 367.90
  4. Step 4: Simplify right side
    633.55x = 321,602.20
  5. Step 5: Solve for x
    x = 321,602.20/633.55
  6. Step 6: Final answer
    x = 507.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.