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Finding the Fourth Proportional to 360.17, 497.31 and 213.00

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Solution

The fourth proportional to 360.17, 497.31 and 213.00 is: 294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.17 : 497.31 = 213.00 : x
  2. Step 2: Convert to fraction form
    360.17/497.31 = 213.00/x
  3. Step 3: Cross multiply
    360.17x = 497.31 × 213.00
  4. Step 4: Simplify right side
    360.17x = 105,930.36
  5. Step 5: Solve for x
    x = 105,930.36/360.17
  6. Step 6: Final answer
    x = 294.11

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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.