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Finding the Fourth Proportional to 398.66, 549.83 and 305.26

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Solution

The fourth proportional to 398.66, 549.83 and 305.26 is: 421.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.66 : 549.83 = 305.26 : x
  2. Step 2: Convert to fraction form
    398.66/549.83 = 305.26/x
  3. Step 3: Cross multiply
    398.66x = 549.83 × 305.26
  4. Step 4: Simplify right side
    398.66x = 167,841.11
  5. Step 5: Solve for x
    x = 167,841.11/398.66
  6. Step 6: Final answer
    x = 421.01

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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.