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Finding the Fourth Proportional to 558.48, 770.65 and 309.76

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Solution

The fourth proportional to 558.48, 770.65 and 309.76 is: 427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.48 : 770.65 = 309.76 : x
  2. Step 2: Convert to fraction form
    558.48/770.65 = 309.76/x
  3. Step 3: Cross multiply
    558.48x = 770.65 × 309.76
  4. Step 4: Simplify right side
    558.48x = 238,716.54
  5. Step 5: Solve for x
    x = 238,716.54/558.48
  6. Step 6: Final answer
    x = 427.44

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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.