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Finding the Fourth Proportional to 455.04, 627.84 and 299.92

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Solution

The fourth proportional to 455.04, 627.84 and 299.92 is: 413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.04 : 627.84 = 299.92 : x
  2. Step 2: Convert to fraction form
    455.04/627.84 = 299.92/x
  3. Step 3: Cross multiply
    455.04x = 627.84 × 299.92
  4. Step 4: Simplify right side
    455.04x = 188,301.77
  5. Step 5: Solve for x
    x = 188,301.77/455.04
  6. Step 6: Final answer
    x = 413.81

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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.