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Finding the Fourth Proportional to 473.82, 653.87 and 299.27

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Solution

The fourth proportional to 473.82, 653.87 and 299.27 is: 412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.82 : 653.87 = 299.27 : x
  2. Step 2: Convert to fraction form
    473.82/653.87 = 299.27/x
  3. Step 3: Cross multiply
    473.82x = 653.87 × 299.27
  4. Step 4: Simplify right side
    473.82x = 195,678.91
  5. Step 5: Solve for x
    x = 195,678.91/473.82
  6. Step 6: Final answer
    x = 412.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.