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Finding the Fourth Proportional to 451.87, 624.42 and 341.15

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Solution

The fourth proportional to 451.87, 624.42 and 341.15 is: 471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.87 : 624.42 = 341.15 : x
  2. Step 2: Convert to fraction form
    451.87/624.42 = 341.15/x
  3. Step 3: Cross multiply
    451.87x = 624.42 × 341.15
  4. Step 4: Simplify right side
    451.87x = 213,017.76
  5. Step 5: Solve for x
    x = 213,017.76/451.87
  6. Step 6: Final answer
    x = 471.42

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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.