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Finding the Fourth Proportional to 436.70, 654.41 and 345.57

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Solution

The fourth proportional to 436.70, 654.41 and 345.57 is: 517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.70 : 654.41 = 345.57 : x
  2. Step 2: Convert to fraction form
    436.70/654.41 = 345.57/x
  3. Step 3: Cross multiply
    436.70x = 654.41 × 345.57
  4. Step 4: Simplify right side
    436.70x = 226,142.74
  5. Step 5: Solve for x
    x = 226,142.74/436.70
  6. Step 6: Final answer
    x = 517.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.