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Finding the Fourth Proportional to 473.31, 710.01 and 199.49

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Solution

The fourth proportional to 473.31, 710.01 and 199.49 is: 299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.31 : 710.01 = 199.49 : x
  2. Step 2: Convert to fraction form
    473.31/710.01 = 199.49/x
  3. Step 3: Cross multiply
    473.31x = 710.01 × 199.49
  4. Step 4: Simplify right side
    473.31x = 141,636.34
  5. Step 5: Solve for x
    x = 141,636.34/473.31
  6. Step 6: Final answer
    x = 299.25

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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.