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Finding the Fourth Proportional to 455.69, 628.85 and 418.50

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Solution

The fourth proportional to 455.69, 628.85 and 418.50 is: 577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.69 : 628.85 = 418.50 : x
  2. Step 2: Convert to fraction form
    455.69/628.85 = 418.50/x
  3. Step 3: Cross multiply
    455.69x = 628.85 × 418.50
  4. Step 4: Simplify right side
    455.69x = 263,173.73
  5. Step 5: Solve for x
    x = 263,173.73/455.69
  6. Step 6: Final answer
    x = 577.53

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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.