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Finding the Fourth Proportional to 943.59, 1,415.01 and 423.24

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Solution

The fourth proportional to 943.59, 1,415.01 and 423.24 is: 634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.59 : 1,415.01 = 423.24 : x
  2. Step 2: Convert to fraction form
    943.59/1,415.01 = 423.24/x
  3. Step 3: Cross multiply
    943.59x = 1,415.01 × 423.24
  4. Step 4: Simplify right side
    943.59x = 598,888.83
  5. Step 5: Solve for x
    x = 598,888.83/943.59
  6. Step 6: Final answer
    x = 634.69

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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.