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Finding the Fourth Proportional to 389.34, 537.12 and 234

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Solution

The fourth proportional to 389.34, 537.12 and 234 is: 322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.34 : 537.12 = 234 : x
  2. Step 2: Convert to fraction form
    389.34/537.12 = 234/x
  3. Step 3: Cross multiply
    389.34x = 537.12 × 234
  4. Step 4: Simplify right side
    389.34x = 125,686.08
  5. Step 5: Solve for x
    x = 125,686.08/389.34
  6. Step 6: Final answer
    x = 322.82

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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.