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Finding the Fourth Proportional to 457.43, 630.89 and 299.88

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Solution

The fourth proportional to 457.43, 630.89 and 299.88 is: 413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.43 : 630.89 = 299.88 : x
  2. Step 2: Convert to fraction form
    457.43/630.89 = 299.88/x
  3. Step 3: Cross multiply
    457.43x = 630.89 × 299.88
  4. Step 4: Simplify right side
    457.43x = 189,189.79
  5. Step 5: Solve for x
    x = 189,189.79/457.43
  6. Step 6: Final answer
    x = 413.60

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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.