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Finding the Fourth Proportional to 628.40, 943.32 and 437.24

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Solution

The fourth proportional to 628.40, 943.32 and 437.24 is: 656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.40 : 943.32 = 437.24 : x
  2. Step 2: Convert to fraction form
    628.40/943.32 = 437.24/x
  3. Step 3: Cross multiply
    628.40x = 943.32 × 437.24
  4. Step 4: Simplify right side
    628.40x = 412,457.24
  5. Step 5: Solve for x
    x = 412,457.24/628.40
  6. Step 6: Final answer
    x = 656.36

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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.