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Finding the Fourth Proportional to 675.02, 931.43 and 409.43

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Solution

The fourth proportional to 675.02, 931.43 and 409.43 is: 564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.02 : 931.43 = 409.43 : x
  2. Step 2: Convert to fraction form
    675.02/931.43 = 409.43/x
  3. Step 3: Cross multiply
    675.02x = 931.43 × 409.43
  4. Step 4: Simplify right side
    675.02x = 381,351.75
  5. Step 5: Solve for x
    x = 381,351.75/675.02
  6. Step 6: Final answer
    x = 564.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.