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Finding the Fourth Proportional to 362.90, 500.84 and 223.13

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Solution

The fourth proportional to 362.90, 500.84 and 223.13 is: 307.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.90 : 500.84 = 223.13 : x
  2. Step 2: Convert to fraction form
    362.90/500.84 = 223.13/x
  3. Step 3: Cross multiply
    362.90x = 500.84 × 223.13
  4. Step 4: Simplify right side
    362.90x = 111,748.81
  5. Step 5: Solve for x
    x = 111,748.81/362.90
  6. Step 6: Final answer
    x = 307.94

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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.