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Finding the Fourth Proportional to 455.13, 627.42 and 315.20

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Solution

The fourth proportional to 455.13, 627.42 and 315.20 is: 434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.13 : 627.42 = 315.20 : x
  2. Step 2: Convert to fraction form
    455.13/627.42 = 315.20/x
  3. Step 3: Cross multiply
    455.13x = 627.42 × 315.20
  4. Step 4: Simplify right side
    455.13x = 197,759.65
  5. Step 5: Solve for x
    x = 197,759.65/455.13
  6. Step 6: Final answer
    x = 434.51

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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.