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Finding the Fourth Proportional to 494.29, 681.36 and 369.76

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Solution

The fourth proportional to 494.29, 681.36 and 369.76 is: 509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.29 : 681.36 = 369.76 : x
  2. Step 2: Convert to fraction form
    494.29/681.36 = 369.76/x
  3. Step 3: Cross multiply
    494.29x = 681.36 × 369.76
  4. Step 4: Simplify right side
    494.29x = 251,939.67
  5. Step 5: Solve for x
    x = 251,939.67/494.29
  6. Step 6: Final answer
    x = 509.70

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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.