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Finding the Fourth Proportional to 330.17, 454.97 and 242.69

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Solution

The fourth proportional to 330.17, 454.97 and 242.69 is: 334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.17 : 454.97 = 242.69 : x
  2. Step 2: Convert to fraction form
    330.17/454.97 = 242.69/x
  3. Step 3: Cross multiply
    330.17x = 454.97 × 242.69
  4. Step 4: Simplify right side
    330.17x = 110,415.46
  5. Step 5: Solve for x
    x = 110,415.46/330.17
  6. Step 6: Final answer
    x = 334.42

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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.