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Finding the Fourth Proportional to 360.53, 497.37 and 213.11

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Solution

The fourth proportional to 360.53, 497.37 and 213.11 is: 294.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.53 : 497.37 = 213.11 : x
  2. Step 2: Convert to fraction form
    360.53/497.37 = 213.11/x
  3. Step 3: Cross multiply
    360.53x = 497.37 × 213.11
  4. Step 4: Simplify right side
    360.53x = 105,994.52
  5. Step 5: Solve for x
    x = 105,994.52/360.53
  6. Step 6: Final answer
    x = 294.00

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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.