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Finding the Fourth Proportional to 398.70, 549.95 and 305.46

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Solution

The fourth proportional to 398.70, 549.95 and 305.46 is: 421.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.70 : 549.95 = 305.46 : x
  2. Step 2: Convert to fraction form
    398.70/549.95 = 305.46/x
  3. Step 3: Cross multiply
    398.70x = 549.95 × 305.46
  4. Step 4: Simplify right side
    398.70x = 167,986.20
  5. Step 5: Solve for x
    x = 167,986.20/398.70
  6. Step 6: Final answer
    x = 421.33

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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.