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Finding the Fourth Proportional to 378.08, 521.13 and 299.26

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Solution

The fourth proportional to 378.08, 521.13 and 299.26 is: 412.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.08 : 521.13 = 299.26 : x
  2. Step 2: Convert to fraction form
    378.08/521.13 = 299.26/x
  3. Step 3: Cross multiply
    378.08x = 521.13 × 299.26
  4. Step 4: Simplify right side
    378.08x = 155,955.14
  5. Step 5: Solve for x
    x = 155,955.14/378.08
  6. Step 6: Final answer
    x = 412.49

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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.