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Finding the Fourth Proportional to 330.84, 495.64 and 208.92

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Solution

The fourth proportional to 330.84, 495.64 and 208.92 is: 312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.84 : 495.64 = 208.92 : x
  2. Step 2: Convert to fraction form
    330.84/495.64 = 208.92/x
  3. Step 3: Cross multiply
    330.84x = 495.64 × 208.92
  4. Step 4: Simplify right side
    330.84x = 103,549.11
  5. Step 5: Solve for x
    x = 103,549.11/330.84
  6. Step 6: Final answer
    x = 312.99

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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.