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Finding the Fourth Proportional to 457.54, 631.06 and 299.91

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Solution

The fourth proportional to 457.54, 631.06 and 299.91 is: 413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.54 : 631.06 = 299.91 : x
  2. Step 2: Convert to fraction form
    457.54/631.06 = 299.91/x
  3. Step 3: Cross multiply
    457.54x = 631.06 × 299.91
  4. Step 4: Simplify right side
    457.54x = 189,262.82
  5. Step 5: Solve for x
    x = 189,262.82/457.54
  6. Step 6: Final answer
    x = 413.66

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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.