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Finding the Fourth Proportional to 558.31, 770.47 and 306.25

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Solution

The fourth proportional to 558.31, 770.47 and 306.25 is: 422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.31 : 770.47 = 306.25 : x
  2. Step 2: Convert to fraction form
    558.31/770.47 = 306.25/x
  3. Step 3: Cross multiply
    558.31x = 770.47 × 306.25
  4. Step 4: Simplify right side
    558.31x = 235,959.13
  5. Step 5: Solve for x
    x = 235,959.13/558.31
  6. Step 6: Final answer
    x = 422.63

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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.