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Finding the Fourth Proportional to 633.22, 948.57 and 503.44

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Solution

The fourth proportional to 633.22, 948.57 and 503.44 is: 754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.22 : 948.57 = 503.44 : x
  2. Step 2: Convert to fraction form
    633.22/948.57 = 503.44/x
  3. Step 3: Cross multiply
    633.22x = 948.57 × 503.44
  4. Step 4: Simplify right side
    633.22x = 477,548.08
  5. Step 5: Solve for x
    x = 477,548.08/633.22
  6. Step 6: Final answer
    x = 754.16

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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.