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Finding the Fourth Proportional to 628.66, 943.08 and 355.34

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Solution

The fourth proportional to 628.66, 943.08 and 355.34 is: 533.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.66 : 943.08 = 355.34 : x
  2. Step 2: Convert to fraction form
    628.66/943.08 = 355.34/x
  3. Step 3: Cross multiply
    628.66x = 943.08 × 355.34
  4. Step 4: Simplify right side
    628.66x = 335,114.05
  5. Step 5: Solve for x
    x = 335,114.05/628.66
  6. Step 6: Final answer
    x = 533.06

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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.