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Finding the Fourth Proportional to 335.51, 462.93 and 219

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Solution

The fourth proportional to 335.51, 462.93 and 219 is: 302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.51 : 462.93 = 219 : x
  2. Step 2: Convert to fraction form
    335.51/462.93 = 219/x
  3. Step 3: Cross multiply
    335.51x = 462.93 × 219
  4. Step 4: Simplify right side
    335.51x = 101,381.67
  5. Step 5: Solve for x
    x = 101,381.67/335.51
  6. Step 6: Final answer
    x = 302.18

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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.