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Finding the Fourth Proportional to 630.24, 943.56 and 475.80

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Solution

The fourth proportional to 630.24, 943.56 and 475.80 is: 712.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.24 : 943.56 = 475.80 : x
  2. Step 2: Convert to fraction form
    630.24/943.56 = 475.80/x
  3. Step 3: Cross multiply
    630.24x = 943.56 × 475.80
  4. Step 4: Simplify right side
    630.24x = 448,945.85
  5. Step 5: Solve for x
    x = 448,945.85/630.24
  6. Step 6: Final answer
    x = 712.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.