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Finding the Fourth Proportional to 331.95, 497.64 and 214.90

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Solution

The fourth proportional to 331.95, 497.64 and 214.90 is: 322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.95 : 497.64 = 214.90 : x
  2. Step 2: Convert to fraction form
    331.95/497.64 = 214.90/x
  3. Step 3: Cross multiply
    331.95x = 497.64 × 214.90
  4. Step 4: Simplify right side
    331.95x = 106,945.20
  5. Step 5: Solve for x
    x = 106,945.20/331.95
  6. Step 6: Final answer
    x = 322.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.