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Finding the Fourth Proportional to 558.32, 770.41 and 309.61

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Solution

The fourth proportional to 558.32, 770.41 and 309.61 is: 427.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.32 : 770.41 = 309.61 : x
  2. Step 2: Convert to fraction form
    558.32/770.41 = 309.61/x
  3. Step 3: Cross multiply
    558.32x = 770.41 × 309.61
  4. Step 4: Simplify right side
    558.32x = 238,527.99
  5. Step 5: Solve for x
    x = 238,527.99/558.32
  6. Step 6: Final answer
    x = 427.23

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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.