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Finding the Fourth Proportional to 475.30, 712.89 and 301.45

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Solution

The fourth proportional to 475.30, 712.89 and 301.45 is: 452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.30 : 712.89 = 301.45 : x
  2. Step 2: Convert to fraction form
    475.30/712.89 = 301.45/x
  3. Step 3: Cross multiply
    475.30x = 712.89 × 301.45
  4. Step 4: Simplify right side
    475.30x = 214,900.69
  5. Step 5: Solve for x
    x = 214,900.69/475.30
  6. Step 6: Final answer
    x = 452.14

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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.