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Finding the Fourth Proportional to 351.18, 485.10 and 296.22

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Solution

The fourth proportional to 351.18, 485.10 and 296.22 is: 409.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.18 : 485.10 = 296.22 : x
  2. Step 2: Convert to fraction form
    351.18/485.10 = 296.22/x
  3. Step 3: Cross multiply
    351.18x = 485.10 × 296.22
  4. Step 4: Simplify right side
    351.18x = 143,696.32
  5. Step 5: Solve for x
    x = 143,696.32/351.18
  6. Step 6: Final answer
    x = 409.18

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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.