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Finding the Fourth Proportional to 473.78, 710.45 and 199.72

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Solution

The fourth proportional to 473.78, 710.45 and 199.72 is: 299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.78 : 710.45 = 199.72 : x
  2. Step 2: Convert to fraction form
    473.78/710.45 = 199.72/x
  3. Step 3: Cross multiply
    473.78x = 710.45 × 199.72
  4. Step 4: Simplify right side
    473.78x = 141,892.46
  5. Step 5: Solve for x
    x = 141,892.46/473.78
  6. Step 6: Final answer
    x = 299.49

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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.