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Finding the Fourth Proportional to 357.53, 535.62 and 300.12

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Solution

The fourth proportional to 357.53, 535.62 and 300.12 is: 449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.53 : 535.62 = 300.12 : x
  2. Step 2: Convert to fraction form
    357.53/535.62 = 300.12/x
  3. Step 3: Cross multiply
    357.53x = 535.62 × 300.12
  4. Step 4: Simplify right side
    357.53x = 160,749.39
  5. Step 5: Solve for x
    x = 160,749.39/357.53
  6. Step 6: Final answer
    x = 449.62

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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.