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Finding the Fourth Proportional to 628.17, 940.52 and 473.63

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Solution

The fourth proportional to 628.17, 940.52 and 473.63 is: 709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.17 : 940.52 = 473.63 : x
  2. Step 2: Convert to fraction form
    628.17/940.52 = 473.63/x
  3. Step 3: Cross multiply
    628.17x = 940.52 × 473.63
  4. Step 4: Simplify right side
    628.17x = 445,458.49
  5. Step 5: Solve for x
    x = 445,458.49/628.17
  6. Step 6: Final answer
    x = 709.14

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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.