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Finding the Fourth Proportional to 452.24, 624.06 and 263.22

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Solution

The fourth proportional to 452.24, 624.06 and 263.22 is: 363.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.24 : 624.06 = 263.22 : x
  2. Step 2: Convert to fraction form
    452.24/624.06 = 263.22/x
  3. Step 3: Cross multiply
    452.24x = 624.06 × 263.22
  4. Step 4: Simplify right side
    452.24x = 164,265.07
  5. Step 5: Solve for x
    x = 164,265.07/452.24
  6. Step 6: Final answer
    x = 363.23

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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.