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Finding the Fourth Proportional to 455.47, 628.31 and 268.87

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Solution

The fourth proportional to 455.47, 628.31 and 268.87 is: 370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.47 : 628.31 = 268.87 : x
  2. Step 2: Convert to fraction form
    455.47/628.31 = 268.87/x
  3. Step 3: Cross multiply
    455.47x = 628.31 × 268.87
  4. Step 4: Simplify right side
    455.47x = 168,932.48
  5. Step 5: Solve for x
    x = 168,932.48/455.47
  6. Step 6: Final answer
    x = 370.89

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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.