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Finding the Fourth Proportional to 330.62, 495.90 and 291.74

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Solution

The fourth proportional to 330.62, 495.90 and 291.74 is: 437.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.62 : 495.90 = 291.74 : x
  2. Step 2: Convert to fraction form
    330.62/495.90 = 291.74/x
  3. Step 3: Cross multiply
    330.62x = 495.90 × 291.74
  4. Step 4: Simplify right side
    330.62x = 144,671.39
  5. Step 5: Solve for x
    x = 144,671.39/330.62
  6. Step 6: Final answer
    x = 437.58

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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.