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Finding the Fourth Proportional to 335.36, 462.62 and 210.78

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Solution

The fourth proportional to 335.36, 462.62 and 210.78 is: 290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.36 : 462.62 = 210.78 : x
  2. Step 2: Convert to fraction form
    335.36/462.62 = 210.78/x
  3. Step 3: Cross multiply
    335.36x = 462.62 × 210.78
  4. Step 4: Simplify right side
    335.36x = 97,509.99
  5. Step 5: Solve for x
    x = 97,509.99/335.36
  6. Step 6: Final answer
    x = 290.77

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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.