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Finding the Fourth Proportional to 362.71, 499.98 and 288.91

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Solution

The fourth proportional to 362.71, 499.98 and 288.91 is: 398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.71 : 499.98 = 288.91 : x
  2. Step 2: Convert to fraction form
    362.71/499.98 = 288.91/x
  3. Step 3: Cross multiply
    362.71x = 499.98 × 288.91
  4. Step 4: Simplify right side
    362.71x = 144,449.22
  5. Step 5: Solve for x
    x = 144,449.22/362.71
  6. Step 6: Final answer
    x = 398.25

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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.