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Finding the Fourth Proportional to 456.87, 630.26 and 299.46

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Solution

The fourth proportional to 456.87, 630.26 and 299.46 is: 413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.87 : 630.26 = 299.46 : x
  2. Step 2: Convert to fraction form
    456.87/630.26 = 299.46/x
  3. Step 3: Cross multiply
    456.87x = 630.26 × 299.46
  4. Step 4: Simplify right side
    456.87x = 188,737.66
  5. Step 5: Solve for x
    x = 188,737.66/456.87
  6. Step 6: Final answer
    x = 413.11

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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.