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Finding the Fourth Proportional to 633.85, 875.03 and 398.14

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Solution

The fourth proportional to 633.85, 875.03 and 398.14 is: 549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.85 : 875.03 = 398.14 : x
  2. Step 2: Convert to fraction form
    633.85/875.03 = 398.14/x
  3. Step 3: Cross multiply
    633.85x = 875.03 × 398.14
  4. Step 4: Simplify right side
    633.85x = 348,378.08
  5. Step 5: Solve for x
    x = 348,378.08/633.85
  6. Step 6: Final answer
    x = 549.63

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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.