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Finding the Fourth Proportional to 499.91, 689.87 and 342.54

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Solution

The fourth proportional to 499.91, 689.87 and 342.54 is: 472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.91 : 689.87 = 342.54 : x
  2. Step 2: Convert to fraction form
    499.91/689.87 = 342.54/x
  3. Step 3: Cross multiply
    499.91x = 689.87 × 342.54
  4. Step 4: Simplify right side
    499.91x = 236,304.63
  5. Step 5: Solve for x
    x = 236,304.63/499.91
  6. Step 6: Final answer
    x = 472.69

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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.