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Finding the Fourth Proportional to 495.29, 742.77 and 462.94

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Solution

The fourth proportional to 495.29, 742.77 and 462.94 is: 694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.29 : 742.77 = 462.94 : x
  2. Step 2: Convert to fraction form
    495.29/742.77 = 462.94/x
  3. Step 3: Cross multiply
    495.29x = 742.77 × 462.94
  4. Step 4: Simplify right side
    495.29x = 343,856.09
  5. Step 5: Solve for x
    x = 343,856.09/495.29
  6. Step 6: Final answer
    x = 694.25

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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.