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Finding the Fourth Proportional to 374.66, 517.70 and 362.64

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Solution

The fourth proportional to 374.66, 517.70 and 362.64 is: 501.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.66 : 517.70 = 362.64 : x
  2. Step 2: Convert to fraction form
    374.66/517.70 = 362.64/x
  3. Step 3: Cross multiply
    374.66x = 517.70 × 362.64
  4. Step 4: Simplify right side
    374.66x = 187,738.73
  5. Step 5: Solve for x
    x = 187,738.73/374.66
  6. Step 6: Final answer
    x = 501.09

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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.