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Finding the Fourth Proportional to 456.60, 629.89 and 299.50

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Solution

The fourth proportional to 456.60, 629.89 and 299.50 is: 413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.60 : 629.89 = 299.50 : x
  2. Step 2: Convert to fraction form
    456.60/629.89 = 299.50/x
  3. Step 3: Cross multiply
    456.60x = 629.89 × 299.50
  4. Step 4: Simplify right side
    456.60x = 188,649.73
  5. Step 5: Solve for x
    x = 188,649.73/456.60
  6. Step 6: Final answer
    x = 413.16

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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.