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Finding the Fourth Proportional to 379.50, 524.79 and 362.31

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Solution

The fourth proportional to 379.50, 524.79 and 362.31 is: 501.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.50 : 524.79 = 362.31 : x
  2. Step 2: Convert to fraction form
    379.50/524.79 = 362.31/x
  3. Step 3: Cross multiply
    379.50x = 524.79 × 362.31
  4. Step 4: Simplify right side
    379.50x = 190,136.66
  5. Step 5: Solve for x
    x = 190,136.66/379.50
  6. Step 6: Final answer
    x = 501.02

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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.