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Finding the Fourth Proportional to 628.02, 943.15 and 401.46

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Solution

The fourth proportional to 628.02, 943.15 and 401.46 is: 602.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.02 : 943.15 = 401.46 : x
  2. Step 2: Convert to fraction form
    628.02/943.15 = 401.46/x
  3. Step 3: Cross multiply
    628.02x = 943.15 × 401.46
  4. Step 4: Simplify right side
    628.02x = 378,637.00
  5. Step 5: Solve for x
    x = 378,637.00/628.02
  6. Step 6: Final answer
    x = 602.91

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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.