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Finding the Fourth Proportional to 473.56, 710.34 and 199.66

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Solution

The fourth proportional to 473.56, 710.34 and 199.66 is: 299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.56 : 710.34 = 199.66 : x
  2. Step 2: Convert to fraction form
    473.56/710.34 = 199.66/x
  3. Step 3: Cross multiply
    473.56x = 710.34 × 199.66
  4. Step 4: Simplify right side
    473.56x = 141,823.29
  5. Step 5: Solve for x
    x = 141,823.29/473.56
  6. Step 6: Final answer
    x = 299.48

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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.