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Finding the Fourth Proportional to 360.10, 538.79 and 213.93

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Solution

The fourth proportional to 360.10, 538.79 and 213.93 is: 320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.10 : 538.79 = 213.93 : x
  2. Step 2: Convert to fraction form
    360.10/538.79 = 213.93/x
  3. Step 3: Cross multiply
    360.10x = 538.79 × 213.93
  4. Step 4: Simplify right side
    360.10x = 115,263.34
  5. Step 5: Solve for x
    x = 115,263.34/360.10
  6. Step 6: Final answer
    x = 320.09

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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.