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Finding the Fourth Proportional to 314.34, 433.84 and 216.12

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Solution

The fourth proportional to 314.34, 433.84 and 216.12 is: 298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.34 : 433.84 = 216.12 : x
  2. Step 2: Convert to fraction form
    314.34/433.84 = 216.12/x
  3. Step 3: Cross multiply
    314.34x = 433.84 × 216.12
  4. Step 4: Simplify right side
    314.34x = 93,761.50
  5. Step 5: Solve for x
    x = 93,761.50/314.34
  6. Step 6: Final answer
    x = 298.28

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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.