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Finding the Fourth Proportional to 389.16, 537.05 and 214.52

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Solution

The fourth proportional to 389.16, 537.05 and 214.52 is: 296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.16 : 537.05 = 214.52 : x
  2. Step 2: Convert to fraction form
    389.16/537.05 = 214.52/x
  3. Step 3: Cross multiply
    389.16x = 537.05 × 214.52
  4. Step 4: Simplify right side
    389.16x = 115,204.21
  5. Step 5: Solve for x
    x = 115,204.21/389.16
  6. Step 6: Final answer
    x = 296.03

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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.