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Finding the Fourth Proportional to 360.04, 539.56 and 213.83

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Solution

The fourth proportional to 360.04, 539.56 and 213.83 is: 320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.04 : 539.56 = 213.83 : x
  2. Step 2: Convert to fraction form
    360.04/539.56 = 213.83/x
  3. Step 3: Cross multiply
    360.04x = 539.56 × 213.83
  4. Step 4: Simplify right side
    360.04x = 115,374.11
  5. Step 5: Solve for x
    x = 115,374.11/360.04
  6. Step 6: Final answer
    x = 320.45

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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.