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Finding the Fourth Proportional to 362.71, 501.33 and 265.15

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Solution

The fourth proportional to 362.71, 501.33 and 265.15 is: 366.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.71 : 501.33 = 265.15 : x
  2. Step 2: Convert to fraction form
    362.71/501.33 = 265.15/x
  3. Step 3: Cross multiply
    362.71x = 501.33 × 265.15
  4. Step 4: Simplify right side
    362.71x = 132,927.65
  5. Step 5: Solve for x
    x = 132,927.65/362.71
  6. Step 6: Final answer
    x = 366.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.