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Finding the Fourth Proportional to 389.57, 537.62 and 214.93

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Solution

The fourth proportional to 389.57, 537.62 and 214.93 is: 296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.57 : 537.62 = 214.93 : x
  2. Step 2: Convert to fraction form
    389.57/537.62 = 214.93/x
  3. Step 3: Cross multiply
    389.57x = 537.62 × 214.93
  4. Step 4: Simplify right side
    389.57x = 115,546.90
  5. Step 5: Solve for x
    x = 115,546.90/389.57
  6. Step 6: Final answer
    x = 296.60

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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.