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Finding the Fourth Proportional to 403.16, 556.52 and 298.26

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Solution

The fourth proportional to 403.16, 556.52 and 298.26 is: 411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.16 : 556.52 = 298.26 : x
  2. Step 2: Convert to fraction form
    403.16/556.52 = 298.26/x
  3. Step 3: Cross multiply
    403.16x = 556.52 × 298.26
  4. Step 4: Simplify right side
    403.16x = 165,987.66
  5. Step 5: Solve for x
    x = 165,987.66/403.16
  6. Step 6: Final answer
    x = 411.72

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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.