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Finding the Fourth Proportional to 455.02, 627.82 and 268.45

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Solution

The fourth proportional to 455.02, 627.82 and 268.45 is: 370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.02 : 627.82 = 268.45 : x
  2. Step 2: Convert to fraction form
    455.02/627.82 = 268.45/x
  3. Step 3: Cross multiply
    455.02x = 627.82 × 268.45
  4. Step 4: Simplify right side
    455.02x = 168,538.28
  5. Step 5: Solve for x
    x = 168,538.28/455.02
  6. Step 6: Final answer
    x = 370.40

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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.