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Finding the Fourth Proportional to 369.24, 508.86 and 265.56

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Solution

The fourth proportional to 369.24, 508.86 and 265.56 is: 365.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.24 : 508.86 = 265.56 : x
  2. Step 2: Convert to fraction form
    369.24/508.86 = 265.56/x
  3. Step 3: Cross multiply
    369.24x = 508.86 × 265.56
  4. Step 4: Simplify right side
    369.24x = 135,132.86
  5. Step 5: Solve for x
    x = 135,132.86/369.24
  6. Step 6: Final answer
    x = 365.98

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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.