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Finding the Fourth Proportional to 390.84, 539.50 and 259.88

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Solution

The fourth proportional to 390.84, 539.50 and 259.88 is: 358.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.84 : 539.50 = 259.88 : x
  2. Step 2: Convert to fraction form
    390.84/539.50 = 259.88/x
  3. Step 3: Cross multiply
    390.84x = 539.50 × 259.88
  4. Step 4: Simplify right side
    390.84x = 140,205.26
  5. Step 5: Solve for x
    x = 140,205.26/390.84
  6. Step 6: Final answer
    x = 358.73

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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.