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Finding the Fourth Proportional to 459.91, 689.39 and 343.54

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Solution

The fourth proportional to 459.91, 689.39 and 343.54 is: 514.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.91 : 689.39 = 343.54 : x
  2. Step 2: Convert to fraction form
    459.91/689.39 = 343.54/x
  3. Step 3: Cross multiply
    459.91x = 689.39 × 343.54
  4. Step 4: Simplify right side
    459.91x = 236,827.88
  5. Step 5: Solve for x
    x = 236,827.88/459.91
  6. Step 6: Final answer
    x = 514.95

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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.