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Finding the Fourth Proportional to 473.82, 653.86 and 299.26

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Solution

The fourth proportional to 473.82, 653.86 and 299.26 is: 412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.82 : 653.86 = 299.26 : x
  2. Step 2: Convert to fraction form
    473.82/653.86 = 299.26/x
  3. Step 3: Cross multiply
    473.82x = 653.86 × 299.26
  4. Step 4: Simplify right side
    473.82x = 195,674.14
  5. Step 5: Solve for x
    x = 195,674.14/473.82
  6. Step 6: Final answer
    x = 412.97

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