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Finding the Fourth Proportional to 362.23, 499.53 and 238.00

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Solution

The fourth proportional to 362.23, 499.53 and 238.00 is: 328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.23 : 499.53 = 238.00 : x
  2. Step 2: Convert to fraction form
    362.23/499.53 = 238.00/x
  3. Step 3: Cross multiply
    362.23x = 499.53 × 238.00
  4. Step 4: Simplify right side
    362.23x = 118,885.64
  5. Step 5: Solve for x
    x = 118,885.64/362.23
  6. Step 6: Final answer
    x = 328.20

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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.