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Finding the Fourth Proportional to 475.04, 655.78 and 300.46

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Solution

The fourth proportional to 475.04, 655.78 and 300.46 is: 414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.04 : 655.78 = 300.46 : x
  2. Step 2: Convert to fraction form
    475.04/655.78 = 300.46/x
  3. Step 3: Cross multiply
    475.04x = 655.78 × 300.46
  4. Step 4: Simplify right side
    475.04x = 197,035.66
  5. Step 5: Solve for x
    x = 197,035.66/475.04
  6. Step 6: Final answer
    x = 414.78

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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.