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Finding the Fourth Proportional to 558.71, 770.90 and 337.67

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Solution

The fourth proportional to 558.71, 770.90 and 337.67 is: 465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.71 : 770.90 = 337.67 : x
  2. Step 2: Convert to fraction form
    558.71/770.90 = 337.67/x
  3. Step 3: Cross multiply
    558.71x = 770.90 × 337.67
  4. Step 4: Simplify right side
    558.71x = 260,309.68
  5. Step 5: Solve for x
    x = 260,309.68/558.71
  6. Step 6: Final answer
    x = 465.92

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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.