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Finding the Fourth Proportional to 558.68, 770.69 and 362.25

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Solution

The fourth proportional to 558.68, 770.69 and 362.25 is: 499.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.68 : 770.69 = 362.25 : x
  2. Step 2: Convert to fraction form
    558.68/770.69 = 362.25/x
  3. Step 3: Cross multiply
    558.68x = 770.69 × 362.25
  4. Step 4: Simplify right side
    558.68x = 279,183.47
  5. Step 5: Solve for x
    x = 279,183.47/558.68
  6. Step 6: Final answer
    x = 499.72

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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.