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Finding the Fourth Proportional to 473.26, 710.17 and 199.33

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Solution

The fourth proportional to 473.26, 710.17 and 199.33 is: 299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.26 : 710.17 = 199.33 : x
  2. Step 2: Convert to fraction form
    473.26/710.17 = 199.33/x
  3. Step 3: Cross multiply
    473.26x = 710.17 × 199.33
  4. Step 4: Simplify right side
    473.26x = 141,558.19
  5. Step 5: Solve for x
    x = 141,558.19/473.26
  6. Step 6: Final answer
    x = 299.11

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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.