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Finding the Fourth Proportional to 389.22, 537.24 and 265.50

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Solution

The fourth proportional to 389.22, 537.24 and 265.50 is: 366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.22 : 537.24 = 265.50 : x
  2. Step 2: Convert to fraction form
    389.22/537.24 = 265.50/x
  3. Step 3: Cross multiply
    389.22x = 537.24 × 265.50
  4. Step 4: Simplify right side
    389.22x = 142,637.22
  5. Step 5: Solve for x
    x = 142,637.22/389.22
  6. Step 6: Final answer
    x = 366.47

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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.