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Finding the Fourth Proportional to 406.29, 558.87 and 339.87

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Solution

The fourth proportional to 406.29, 558.87 and 339.87 is: 467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.29 : 558.87 = 339.87 : x
  2. Step 2: Convert to fraction form
    406.29/558.87 = 339.87/x
  3. Step 3: Cross multiply
    406.29x = 558.87 × 339.87
  4. Step 4: Simplify right side
    406.29x = 189,943.15
  5. Step 5: Solve for x
    x = 189,943.15/406.29
  6. Step 6: Final answer
    x = 467.51

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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.