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Finding the Fourth Proportional to 558.60, 770.83 and 309.91

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Solution

The fourth proportional to 558.60, 770.83 and 309.91 is: 427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.60 : 770.83 = 309.91 : x
  2. Step 2: Convert to fraction form
    558.60/770.83 = 309.91/x
  3. Step 3: Cross multiply
    558.60x = 770.83 × 309.91
  4. Step 4: Simplify right side
    558.60x = 238,887.73
  5. Step 5: Solve for x
    x = 238,887.73/558.60
  6. Step 6: Final answer
    x = 427.66

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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.