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Finding the Fourth Proportional to 350.68, 525.21 and 338.53

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Solution

The fourth proportional to 350.68, 525.21 and 338.53 is: 507.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.68 : 525.21 = 338.53 : x
  2. Step 2: Convert to fraction form
    350.68/525.21 = 338.53/x
  3. Step 3: Cross multiply
    350.68x = 525.21 × 338.53
  4. Step 4: Simplify right side
    350.68x = 177,799.34
  5. Step 5: Solve for x
    x = 177,799.34/350.68
  6. Step 6: Final answer
    x = 507.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.