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Finding the Fourth Proportional to 378.50, 520.71 and 362.30

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Solution

The fourth proportional to 378.50, 520.71 and 362.30 is: 498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.50 : 520.71 = 362.30 : x
  2. Step 2: Convert to fraction form
    378.50/520.71 = 362.30/x
  3. Step 3: Cross multiply
    378.50x = 520.71 × 362.30
  4. Step 4: Simplify right side
    378.50x = 188,653.23
  5. Step 5: Solve for x
    x = 188,653.23/378.50
  6. Step 6: Final answer
    x = 498.42

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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.