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Finding the Fourth Proportional to 495.77, 742.53 and 264.25

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Solution

The fourth proportional to 495.77, 742.53 and 264.25 is: 395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.77 : 742.53 = 264.25 : x
  2. Step 2: Convert to fraction form
    495.77/742.53 = 264.25/x
  3. Step 3: Cross multiply
    495.77x = 742.53 × 264.25
  4. Step 4: Simplify right side
    495.77x = 196,215.47
  5. Step 5: Solve for x
    x = 196,215.47/495.77
  6. Step 6: Final answer
    x = 395.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.