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Finding the Fourth Proportional to 363.80, 501.98 and 265.26

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Solution

The fourth proportional to 363.80, 501.98 and 265.26 is: 366.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.80 : 501.98 = 265.26 : x
  2. Step 2: Convert to fraction form
    363.80/501.98 = 265.26/x
  3. Step 3: Cross multiply
    363.80x = 501.98 × 265.26
  4. Step 4: Simplify right side
    363.80x = 133,155.21
  5. Step 5: Solve for x
    x = 133,155.21/363.80
  6. Step 6: Final answer
    x = 366.01

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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.