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Finding the Fourth Proportional to 390.84, 539.04 and 243.19

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Solution

The fourth proportional to 390.84, 539.04 and 243.19 is: 335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.84 : 539.04 = 243.19 : x
  2. Step 2: Convert to fraction form
    390.84/539.04 = 243.19/x
  3. Step 3: Cross multiply
    390.84x = 539.04 × 243.19
  4. Step 4: Simplify right side
    390.84x = 131,089.14
  5. Step 5: Solve for x
    x = 131,089.14/390.84
  6. Step 6: Final answer
    x = 335.40

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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.