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Finding the Fourth Proportional to 330.64, 495.91 and 208.53

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Solution

The fourth proportional to 330.64, 495.91 and 208.53 is: 312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.64 : 495.91 = 208.53 : x
  2. Step 2: Convert to fraction form
    330.64/495.91 = 208.53/x
  3. Step 3: Cross multiply
    330.64x = 495.91 × 208.53
  4. Step 4: Simplify right side
    330.64x = 103,412.11
  5. Step 5: Solve for x
    x = 103,412.11/330.64
  6. Step 6: Final answer
    x = 312.76

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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.