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Finding the Fourth Proportional to 369.68, 510.06 and 236.84

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Solution

The fourth proportional to 369.68, 510.06 and 236.84 is: 326.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.68 : 510.06 = 236.84 : x
  2. Step 2: Convert to fraction form
    369.68/510.06 = 236.84/x
  3. Step 3: Cross multiply
    369.68x = 510.06 × 236.84
  4. Step 4: Simplify right side
    369.68x = 120,800.95
  5. Step 5: Solve for x
    x = 120,800.95/369.68
  6. Step 6: Final answer
    x = 326.78

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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.