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Finding the Fourth Proportional to 859.65, 1,289.33 and 243.21

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Solution

The fourth proportional to 859.65, 1,289.33 and 243.21 is: 364.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.65 : 1,289.33 = 243.21 : x
  2. Step 2: Convert to fraction form
    859.65/1,289.33 = 243.21/x
  3. Step 3: Cross multiply
    859.65x = 1,289.33 × 243.21
  4. Step 4: Simplify right side
    859.65x = 313,577.95
  5. Step 5: Solve for x
    x = 313,577.95/859.65
  6. Step 6: Final answer
    x = 364.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.