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Finding the Fourth Proportional to 457.37, 631.25 and 299.72

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Solution

The fourth proportional to 457.37, 631.25 and 299.72 is: 413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.37 : 631.25 = 299.72 : x
  2. Step 2: Convert to fraction form
    457.37/631.25 = 299.72/x
  3. Step 3: Cross multiply
    457.37x = 631.25 × 299.72
  4. Step 4: Simplify right side
    457.37x = 189,198.25
  5. Step 5: Solve for x
    x = 189,198.25/457.37
  6. Step 6: Final answer
    x = 413.67

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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.