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Finding the Fourth Proportional to 398.25, 549.86 and 305.24

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Solution

The fourth proportional to 398.25, 549.86 and 305.24 is: 421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.25 : 549.86 = 305.24 : x
  2. Step 2: Convert to fraction form
    398.25/549.86 = 305.24/x
  3. Step 3: Cross multiply
    398.25x = 549.86 × 305.24
  4. Step 4: Simplify right side
    398.25x = 167,834.99
  5. Step 5: Solve for x
    x = 167,834.99/398.25
  6. Step 6: Final answer
    x = 421.43

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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.