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Finding the Fourth Proportional to 455.00, 627.86 and 258.47

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Solution

The fourth proportional to 455.00, 627.86 and 258.47 is: 356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.00 : 627.86 = 258.47 : x
  2. Step 2: Convert to fraction form
    455.00/627.86 = 258.47/x
  3. Step 3: Cross multiply
    455.00x = 627.86 × 258.47
  4. Step 4: Simplify right side
    455.00x = 162,278.54
  5. Step 5: Solve for x
    x = 162,278.54/455.00
  6. Step 6: Final answer
    x = 356.66

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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.