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Finding the Fourth Proportional to 389.07, 537.17 and 264.74

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Solution

The fourth proportional to 389.07, 537.17 and 264.74 is: 365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.07 : 537.17 = 264.74 : x
  2. Step 2: Convert to fraction form
    389.07/537.17 = 264.74/x
  3. Step 3: Cross multiply
    389.07x = 537.17 × 264.74
  4. Step 4: Simplify right side
    389.07x = 142,206.38
  5. Step 5: Solve for x
    x = 142,206.38/389.07
  6. Step 6: Final answer
    x = 365.50

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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.