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Finding the Fourth Proportional to 406.25, 558.86 and 356.23

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Solution

The fourth proportional to 406.25, 558.86 and 356.23 is: 490.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.25 : 558.86 = 356.23 : x
  2. Step 2: Convert to fraction form
    406.25/558.86 = 356.23/x
  3. Step 3: Cross multiply
    406.25x = 558.86 × 356.23
  4. Step 4: Simplify right side
    406.25x = 199,082.31
  5. Step 5: Solve for x
    x = 199,082.31/406.25
  6. Step 6: Final answer
    x = 490.05

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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.