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Finding the Fourth Proportional to 457.88, 631.42 and 300.46

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Solution

The fourth proportional to 457.88, 631.42 and 300.46 is: 414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.88 : 631.42 = 300.46 : x
  2. Step 2: Convert to fraction form
    457.88/631.42 = 300.46/x
  3. Step 3: Cross multiply
    457.88x = 631.42 × 300.46
  4. Step 4: Simplify right side
    457.88x = 189,716.15
  5. Step 5: Solve for x
    x = 189,716.15/457.88
  6. Step 6: Final answer
    x = 414.34

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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.