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Finding the Fourth Proportional to 363.81, 501.88 and 260.37

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Solution

The fourth proportional to 363.81, 501.88 and 260.37 is: 359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.81 : 501.88 = 260.37 : x
  2. Step 2: Convert to fraction form
    363.81/501.88 = 260.37/x
  3. Step 3: Cross multiply
    363.81x = 501.88 × 260.37
  4. Step 4: Simplify right side
    363.81x = 130,674.50
  5. Step 5: Solve for x
    x = 130,674.50/363.81
  6. Step 6: Final answer
    x = 359.18

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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.