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Finding the Fourth Proportional to 389.68, 537.96 and 265.36

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Solution

The fourth proportional to 389.68, 537.96 and 265.36 is: 366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.68 : 537.96 = 265.36 : x
  2. Step 2: Convert to fraction form
    389.68/537.96 = 265.36/x
  3. Step 3: Cross multiply
    389.68x = 537.96 × 265.36
  4. Step 4: Simplify right side
    389.68x = 142,753.07
  5. Step 5: Solve for x
    x = 142,753.07/389.68
  6. Step 6: Final answer
    x = 366.33

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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.