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Finding the Fourth Proportional to 390.30, 538.41 and 243.06

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Solution

The fourth proportional to 390.30, 538.41 and 243.06 is: 335.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.30 : 538.41 = 243.06 : x
  2. Step 2: Convert to fraction form
    390.30/538.41 = 243.06/x
  3. Step 3: Cross multiply
    390.30x = 538.41 × 243.06
  4. Step 4: Simplify right side
    390.30x = 130,865.93
  5. Step 5: Solve for x
    x = 130,865.93/390.30
  6. Step 6: Final answer
    x = 335.30

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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.