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Finding the Fourth Proportional to 455.15, 627.77 and 418.70

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Solution

The fourth proportional to 455.15, 627.77 and 418.70 is: 577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.15 : 627.77 = 418.70 : x
  2. Step 2: Convert to fraction form
    455.15/627.77 = 418.70/x
  3. Step 3: Cross multiply
    455.15x = 627.77 × 418.70
  4. Step 4: Simplify right side
    455.15x = 262,849.92
  5. Step 5: Solve for x
    x = 262,849.92/455.15
  6. Step 6: Final answer
    x = 577.50

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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.