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Finding the Fourth Proportional to 633.24, 944.82 and 525.24

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Solution

The fourth proportional to 633.24, 944.82 and 525.24 is: 783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.24 : 944.82 = 525.24 : x
  2. Step 2: Convert to fraction form
    633.24/944.82 = 525.24/x
  3. Step 3: Cross multiply
    633.24x = 944.82 × 525.24
  4. Step 4: Simplify right side
    633.24x = 496,257.26
  5. Step 5: Solve for x
    x = 496,257.26/633.24
  6. Step 6: Final answer
    x = 783.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.