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Finding the Fourth Proportional to 558.10, 770.16 and 309.41

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Solution

The fourth proportional to 558.10, 770.16 and 309.41 is: 426.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.10 : 770.16 = 309.41 : x
  2. Step 2: Convert to fraction form
    558.10/770.16 = 309.41/x
  3. Step 3: Cross multiply
    558.10x = 770.16 × 309.41
  4. Step 4: Simplify right side
    558.10x = 238,299.74
  5. Step 5: Solve for x
    x = 238,299.74/558.10
  6. Step 6: Final answer
    x = 426.99

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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.