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Finding the Fourth Proportional to 389.57, 537.74 and 265.64

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Solution

The fourth proportional to 389.57, 537.74 and 265.64 is: 366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.57 : 537.74 = 265.64 : x
  2. Step 2: Convert to fraction form
    389.57/537.74 = 265.64/x
  3. Step 3: Cross multiply
    389.57x = 537.74 × 265.64
  4. Step 4: Simplify right side
    389.57x = 142,845.25
  5. Step 5: Solve for x
    x = 142,845.25/389.57
  6. Step 6: Final answer
    x = 366.67

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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.