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Finding the Fourth Proportional to 558.15, 770.25 and 309.49

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Solution

The fourth proportional to 558.15, 770.25 and 309.49 is: 427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.15 : 770.25 = 309.49 : x
  2. Step 2: Convert to fraction form
    558.15/770.25 = 309.49/x
  3. Step 3: Cross multiply
    558.15x = 770.25 × 309.49
  4. Step 4: Simplify right side
    558.15x = 238,380.82
  5. Step 5: Solve for x
    x = 238,380.82/558.15
  6. Step 6: Final answer
    x = 427.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.