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Finding the Fourth Proportional to 415.55, 622.65 and 306.20

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Solution

The fourth proportional to 415.55, 622.65 and 306.20 is: 458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.55 : 622.65 = 306.20 : x
  2. Step 2: Convert to fraction form
    415.55/622.65 = 306.20/x
  3. Step 3: Cross multiply
    415.55x = 622.65 × 306.20
  4. Step 4: Simplify right side
    415.55x = 190,655.43
  5. Step 5: Solve for x
    x = 190,655.43/415.55
  6. Step 6: Final answer
    x = 458.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.