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Finding the Fourth Proportional to 633.81, 948.99 and 468.20

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Solution

The fourth proportional to 633.81, 948.99 and 468.20 is: 701.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.81 : 948.99 = 468.20 : x
  2. Step 2: Convert to fraction form
    633.81/948.99 = 468.20/x
  3. Step 3: Cross multiply
    633.81x = 948.99 × 468.20
  4. Step 4: Simplify right side
    633.81x = 444,317.12
  5. Step 5: Solve for x
    x = 444,317.12/633.81
  6. Step 6: Final answer
    x = 701.03

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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.