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Finding the Fourth Proportional to 558.54, 770.78 and 309.90

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Solution

The fourth proportional to 558.54, 770.78 and 309.90 is: 427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.54 : 770.78 = 309.90 : x
  2. Step 2: Convert to fraction form
    558.54/770.78 = 309.90/x
  3. Step 3: Cross multiply
    558.54x = 770.78 × 309.90
  4. Step 4: Simplify right side
    558.54x = 238,864.72
  5. Step 5: Solve for x
    x = 238,864.72/558.54
  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.