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Finding the Fourth Proportional to 360.47, 497.36 and 213.02

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Solution

The fourth proportional to 360.47, 497.36 and 213.02 is: 293.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.47 : 497.36 = 213.02 : x
  2. Step 2: Convert to fraction form
    360.47/497.36 = 213.02/x
  3. Step 3: Cross multiply
    360.47x = 497.36 × 213.02
  4. Step 4: Simplify right side
    360.47x = 105,949.40
  5. Step 5: Solve for x
    x = 105,949.40/360.47
  6. Step 6: Final answer
    x = 293.92

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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.