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Finding the Fourth Proportional to 455.77, 629.18 and 298.63

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Solution

The fourth proportional to 455.77, 629.18 and 298.63 is: 412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.77 : 629.18 = 298.63 : x
  2. Step 2: Convert to fraction form
    455.77/629.18 = 298.63/x
  3. Step 3: Cross multiply
    455.77x = 629.18 × 298.63
  4. Step 4: Simplify right side
    455.77x = 187,892.02
  5. Step 5: Solve for x
    x = 187,892.02/455.77
  6. Step 6: Final answer
    x = 412.25

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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.