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Finding the Fourth Proportional to 362.88, 500.16 and 288.96

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Solution

The fourth proportional to 362.88, 500.16 and 288.96 is: 398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.88 : 500.16 = 288.96 : x
  2. Step 2: Convert to fraction form
    362.88/500.16 = 288.96/x
  3. Step 3: Cross multiply
    362.88x = 500.16 × 288.96
  4. Step 4: Simplify right side
    362.88x = 144,526.23
  5. Step 5: Solve for x
    x = 144,526.23/362.88
  6. Step 6: Final answer
    x = 398.28

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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.