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Finding the Fourth Proportional to 635.99, 954.17 and 328.05

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Solution

The fourth proportional to 635.99, 954.17 and 328.05 is: 492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.99 : 954.17 = 328.05 : x
  2. Step 2: Convert to fraction form
    635.99/954.17 = 328.05/x
  3. Step 3: Cross multiply
    635.99x = 954.17 × 328.05
  4. Step 4: Simplify right side
    635.99x = 313,013.83
  5. Step 5: Solve for x
    x = 313,013.83/635.99
  6. Step 6: Final answer
    x = 492.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.