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Finding the Fourth Proportional to 633.17, 950.17 and 476.66

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Solution

The fourth proportional to 633.17, 950.17 and 476.66 is: 715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.17 : 950.17 = 476.66 : x
  2. Step 2: Convert to fraction form
    633.17/950.17 = 476.66/x
  3. Step 3: Cross multiply
    633.17x = 950.17 × 476.66
  4. Step 4: Simplify right side
    633.17x = 452,906.77
  5. Step 5: Solve for x
    x = 452,906.77/633.17
  6. Step 6: Final answer
    x = 715.30

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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.