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Finding the Fourth Proportional to 389.74, 537.61 and 265.40

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Solution

The fourth proportional to 389.74, 537.61 and 265.40 is: 366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.74 : 537.61 = 265.40 : x
  2. Step 2: Convert to fraction form
    389.74/537.61 = 265.40/x
  3. Step 3: Cross multiply
    389.74x = 537.61 × 265.40
  4. Step 4: Simplify right side
    389.74x = 142,681.69
  5. Step 5: Solve for x
    x = 142,681.69/389.74
  6. Step 6: Final answer
    x = 366.09

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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.