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Finding the Fourth Proportional to 558.35, 770.50 and 306.27

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Solution

The fourth proportional to 558.35, 770.50 and 306.27 is: 422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.35 : 770.50 = 306.27 : x
  2. Step 2: Convert to fraction form
    558.35/770.50 = 306.27/x
  3. Step 3: Cross multiply
    558.35x = 770.50 × 306.27
  4. Step 4: Simplify right side
    558.35x = 235,981.04
  5. Step 5: Solve for x
    x = 235,981.04/558.35
  6. Step 6: Final answer
    x = 422.64

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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.