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Finding the Fourth Proportional to 362.22, 498.23 and 306.86

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Solution

The fourth proportional to 362.22, 498.23 and 306.86 is: 422.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.22 : 498.23 = 306.86 : x
  2. Step 2: Convert to fraction form
    362.22/498.23 = 306.86/x
  3. Step 3: Cross multiply
    362.22x = 498.23 × 306.86
  4. Step 4: Simplify right side
    362.22x = 152,887.32
  5. Step 5: Solve for x
    x = 152,887.32/362.22
  6. Step 6: Final answer
    x = 422.08

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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.