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Finding the Fourth Proportional to 390.64, 539.34 and 243.48

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Solution

The fourth proportional to 390.64, 539.34 and 243.48 is: 336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.64 : 539.34 = 243.48 : x
  2. Step 2: Convert to fraction form
    390.64/539.34 = 243.48/x
  3. Step 3: Cross multiply
    390.64x = 539.34 × 243.48
  4. Step 4: Simplify right side
    390.64x = 131,318.50
  5. Step 5: Solve for x
    x = 131,318.50/390.64
  6. Step 6: Final answer
    x = 336.16

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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.