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Finding the Fourth Proportional to 389.59, 537.64 and 214.93

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Solution

The fourth proportional to 389.59, 537.64 and 214.93 is: 296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.59 : 537.64 = 214.93 : x
  2. Step 2: Convert to fraction form
    389.59/537.64 = 214.93/x
  3. Step 3: Cross multiply
    389.59x = 537.64 × 214.93
  4. Step 4: Simplify right side
    389.59x = 115,554.97
  5. Step 5: Solve for x
    x = 115,554.97/389.59
  6. Step 6: Final answer
    x = 296.61

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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.