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Finding the Fourth Proportional to 362.34, 499.64 and 237.96

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Solution

The fourth proportional to 362.34, 499.64 and 237.96 is: 328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.34 : 499.64 = 237.96 : x
  2. Step 2: Convert to fraction form
    362.34/499.64 = 237.96/x
  3. Step 3: Cross multiply
    362.34x = 499.64 × 237.96
  4. Step 4: Simplify right side
    362.34x = 118,894.33
  5. Step 5: Solve for x
    x = 118,894.33/362.34
  6. Step 6: Final answer
    x = 328.13

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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.