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Finding the Fourth Proportional to 675.70, 932.78 and 452.23

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Solution

The fourth proportional to 675.70, 932.78 and 452.23 is: 624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.70 : 932.78 = 452.23 : x
  2. Step 2: Convert to fraction form
    675.70/932.78 = 452.23/x
  3. Step 3: Cross multiply
    675.70x = 932.78 × 452.23
  4. Step 4: Simplify right side
    675.70x = 421,831.10
  5. Step 5: Solve for x
    x = 421,831.10/675.70
  6. Step 6: Final answer
    x = 624.29

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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.