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Finding the Fourth Proportional to 389.22, 537.56 and 265.23

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Solution

The fourth proportional to 389.22, 537.56 and 265.23 is: 366.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.22 : 537.56 = 265.23 : x
  2. Step 2: Convert to fraction form
    389.22/537.56 = 265.23/x
  3. Step 3: Cross multiply
    389.22x = 537.56 × 265.23
  4. Step 4: Simplify right side
    389.22x = 142,575.71
  5. Step 5: Solve for x
    x = 142,575.71/389.22
  6. Step 6: Final answer
    x = 366.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.