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Finding the Fourth Proportional to 381.04, 524.20 and 317.63

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Solution

The fourth proportional to 381.04, 524.20 and 317.63 is: 436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.04 : 524.20 = 317.63 : x
  2. Step 2: Convert to fraction form
    381.04/524.20 = 317.63/x
  3. Step 3: Cross multiply
    381.04x = 524.20 × 317.63
  4. Step 4: Simplify right side
    381.04x = 166,499.28
  5. Step 5: Solve for x
    x = 166,499.28/381.04
  6. Step 6: Final answer
    x = 436.95

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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.