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Finding the Fourth Proportional to 334.97, 462.42 and 210.81

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Solution

The fourth proportional to 334.97, 462.42 and 210.81 is: 291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.97 : 462.42 = 210.81 : x
  2. Step 2: Convert to fraction form
    334.97/462.42 = 210.81/x
  3. Step 3: Cross multiply
    334.97x = 462.42 × 210.81
  4. Step 4: Simplify right side
    334.97x = 97,482.76
  5. Step 5: Solve for x
    x = 97,482.76/334.97
  6. Step 6: Final answer
    x = 291.02

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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.