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Finding the Fourth Proportional to 455.37, 627.98 and 289.29

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Solution

The fourth proportional to 455.37, 627.98 and 289.29 is: 398.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.37 : 627.98 = 289.29 : x
  2. Step 2: Convert to fraction form
    455.37/627.98 = 289.29/x
  3. Step 3: Cross multiply
    455.37x = 627.98 × 289.29
  4. Step 4: Simplify right side
    455.37x = 181,664.53
  5. Step 5: Solve for x
    x = 181,664.53/455.37
  6. Step 6: Final answer
    x = 398.94

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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.