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Finding the Fourth Proportional to 335.24, 462.43 and 215.40

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Solution

The fourth proportional to 335.24, 462.43 and 215.40 is: 297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.24 : 462.43 = 215.40 : x
  2. Step 2: Convert to fraction form
    335.24/462.43 = 215.40/x
  3. Step 3: Cross multiply
    335.24x = 462.43 × 215.40
  4. Step 4: Simplify right side
    335.24x = 99,607.42
  5. Step 5: Solve for x
    x = 99,607.42/335.24
  6. Step 6: Final answer
    x = 297.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.