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Finding the Fourth Proportional to 365.91, 505.15 and 265.57

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Solution

The fourth proportional to 365.91, 505.15 and 265.57 is: 366.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.91 : 505.15 = 265.57 : x
  2. Step 2: Convert to fraction form
    365.91/505.15 = 265.57/x
  3. Step 3: Cross multiply
    365.91x = 505.15 × 265.57
  4. Step 4: Simplify right side
    365.91x = 134,152.69
  5. Step 5: Solve for x
    x = 134,152.69/365.91
  6. Step 6: Final answer
    x = 366.63

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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.