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Finding the Fourth Proportional to 943.16, 1,415.14 and 326.95

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Solution

The fourth proportional to 943.16, 1,415.14 and 326.95 is: 490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.16 : 1,415.14 = 326.95 : x
  2. Step 2: Convert to fraction form
    943.16/1,415.14 = 326.95/x
  3. Step 3: Cross multiply
    943.16x = 1,415.14 × 326.95
  4. Step 4: Simplify right side
    943.16x = 462,675.67
  5. Step 5: Solve for x
    x = 462,675.67/943.16
  6. Step 6: Final answer
    x = 490.56

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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.