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Finding the Fourth Proportional to 314.75, 434.09 and 216.51

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Solution

The fourth proportional to 314.75, 434.09 and 216.51 is: 298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.75 : 434.09 = 216.51 : x
  2. Step 2: Convert to fraction form
    314.75/434.09 = 216.51/x
  3. Step 3: Cross multiply
    314.75x = 434.09 × 216.51
  4. Step 4: Simplify right side
    314.75x = 93,983.74
  5. Step 5: Solve for x
    x = 93,983.74/314.75
  6. Step 6: Final answer
    x = 298.60

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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.