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Finding the Fourth Proportional to 397.22, 547.58 and 303.75

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Solution

The fourth proportional to 397.22, 547.58 and 303.75 is: 418.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.22 : 547.58 = 303.75 : x
  2. Step 2: Convert to fraction form
    397.22/547.58 = 303.75/x
  3. Step 3: Cross multiply
    397.22x = 547.58 × 303.75
  4. Step 4: Simplify right side
    397.22x = 166,328.18
  5. Step 5: Solve for x
    x = 166,328.18/397.22
  6. Step 6: Final answer
    x = 418.74

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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.