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Finding the Fourth Proportional to 633.23, 948.67 and 531.17

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Solution

The fourth proportional to 633.23, 948.67 and 531.17 is: 795.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.23 : 948.67 = 531.17 : x
  2. Step 2: Convert to fraction form
    633.23/948.67 = 531.17/x
  3. Step 3: Cross multiply
    633.23x = 948.67 × 531.17
  4. Step 4: Simplify right side
    633.23x = 503,898.97
  5. Step 5: Solve for x
    x = 503,898.97/633.23
  6. Step 6: Final answer
    x = 795.77

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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.