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Finding the Fourth Proportional to 633.09, 948.01 and 438.69

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Solution

The fourth proportional to 633.09, 948.01 and 438.69 is: 656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.09 : 948.01 = 438.69 : x
  2. Step 2: Convert to fraction form
    633.09/948.01 = 438.69/x
  3. Step 3: Cross multiply
    633.09x = 948.01 × 438.69
  4. Step 4: Simplify right side
    633.09x = 415,882.51
  5. Step 5: Solve for x
    x = 415,882.51/633.09
  6. Step 6: Final answer
    x = 656.91

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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.