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Finding the Fourth Proportional to 335.53, 462.93 and 219.16

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Solution

The fourth proportional to 335.53, 462.93 and 219.16 is: 302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.53 : 462.93 = 219.16 : x
  2. Step 2: Convert to fraction form
    335.53/462.93 = 219.16/x
  3. Step 3: Cross multiply
    335.53x = 462.93 × 219.16
  4. Step 4: Simplify right side
    335.53x = 101,455.74
  5. Step 5: Solve for x
    x = 101,455.74/335.53
  6. Step 6: Final answer
    x = 302.37

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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.