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Finding the Fourth Proportional to 633.76, 950.82 and 471.76

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Solution

The fourth proportional to 633.76, 950.82 and 471.76 is: 707.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.76 : 950.82 = 471.76 : x
  2. Step 2: Convert to fraction form
    633.76/950.82 = 471.76/x
  3. Step 3: Cross multiply
    633.76x = 950.82 × 471.76
  4. Step 4: Simplify right side
    633.76x = 448,558.84
  5. Step 5: Solve for x
    x = 448,558.84/633.76
  6. Step 6: Final answer
    x = 707.77

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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.