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Finding the Fourth Proportional to 455.79, 629.28 and 314.24

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Solution

The fourth proportional to 455.79, 629.28 and 314.24 is: 433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.79 : 629.28 = 314.24 : x
  2. Step 2: Convert to fraction form
    455.79/629.28 = 314.24/x
  3. Step 3: Cross multiply
    455.79x = 629.28 × 314.24
  4. Step 4: Simplify right side
    455.79x = 197,744.95
  5. Step 5: Solve for x
    x = 197,744.95/455.79
  6. Step 6: Final answer
    x = 433.85

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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.