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Finding the Fourth Proportional to 455.16, 627.84 and 382.44

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Solution

The fourth proportional to 455.16, 627.84 and 382.44 is: 527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.16 : 627.84 = 382.44 : x
  2. Step 2: Convert to fraction form
    455.16/627.84 = 382.44/x
  3. Step 3: Cross multiply
    455.16x = 627.84 × 382.44
  4. Step 4: Simplify right side
    455.16x = 240,111.13
  5. Step 5: Solve for x
    x = 240,111.13/455.16
  6. Step 6: Final answer
    x = 527.53

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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.