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Finding the Fourth Proportional to 633.74, 948.44 and 437.82

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Solution

The fourth proportional to 633.74, 948.44 and 437.82 is: 655.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.74 : 948.44 = 437.82 : x
  2. Step 2: Convert to fraction form
    633.74/948.44 = 437.82/x
  3. Step 3: Cross multiply
    633.74x = 948.44 × 437.82
  4. Step 4: Simplify right side
    633.74x = 415,246.00
  5. Step 5: Solve for x
    x = 415,246.00/633.74
  6. Step 6: Final answer
    x = 655.23

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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.