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Finding the Fourth Proportional to 455.37, 627.93 and 418.38

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Solution

The fourth proportional to 455.37, 627.93 and 418.38 is: 576.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.37 : 627.93 = 418.38 : x
  2. Step 2: Convert to fraction form
    455.37/627.93 = 418.38/x
  3. Step 3: Cross multiply
    455.37x = 627.93 × 418.38
  4. Step 4: Simplify right side
    455.37x = 262,713.35
  5. Step 5: Solve for x
    x = 262,713.35/455.37
  6. Step 6: Final answer
    x = 576.92

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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.