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Finding the Fourth Proportional to 455.50, 679.10 and 427.96

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Solution

The fourth proportional to 455.50, 679.10 and 427.96 is: 638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.50 : 679.10 = 427.96 : x
  2. Step 2: Convert to fraction form
    455.50/679.10 = 427.96/x
  3. Step 3: Cross multiply
    455.50x = 679.10 × 427.96
  4. Step 4: Simplify right side
    455.50x = 290,627.64
  5. Step 5: Solve for x
    x = 290,627.64/455.50
  6. Step 6: Final answer
    x = 638.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.