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Finding the Fourth Proportional to 455.29, 627.69 and 297.61

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Solution

The fourth proportional to 455.29, 627.69 and 297.61 is: 410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.29 : 627.69 = 297.61 : x
  2. Step 2: Convert to fraction form
    455.29/627.69 = 297.61/x
  3. Step 3: Cross multiply
    455.29x = 627.69 × 297.61
  4. Step 4: Simplify right side
    455.29x = 186,806.82
  5. Step 5: Solve for x
    x = 186,806.82/455.29
  6. Step 6: Final answer
    x = 410.30

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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.