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Finding the Fourth Proportional to 473.93, 710.27 and 199.69

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Solution

The fourth proportional to 473.93, 710.27 and 199.69 is: 299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.93 : 710.27 = 199.69 : x
  2. Step 2: Convert to fraction form
    473.93/710.27 = 199.69/x
  3. Step 3: Cross multiply
    473.93x = 710.27 × 199.69
  4. Step 4: Simplify right side
    473.93x = 141,832.82
  5. Step 5: Solve for x
    x = 141,832.82/473.93
  6. Step 6: Final answer
    x = 299.27

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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.