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Finding the Fourth Proportional to 558.29, 770.46 and 309.67

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Solution

The fourth proportional to 558.29, 770.46 and 309.67 is: 427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.29 : 770.46 = 309.67 : x
  2. Step 2: Convert to fraction form
    558.29/770.46 = 309.67/x
  3. Step 3: Cross multiply
    558.29x = 770.46 × 309.67
  4. Step 4: Simplify right side
    558.29x = 238,591.34
  5. Step 5: Solve for x
    x = 238,591.34/558.29
  6. Step 6: Final answer
    x = 427.36

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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.