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Finding the Fourth Proportional to 436.60, 654.90 and 263.80

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Solution

The fourth proportional to 436.60, 654.90 and 263.80 is: 395.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.60 : 654.90 = 263.80 : x
  2. Step 2: Convert to fraction form
    436.60/654.90 = 263.80/x
  3. Step 3: Cross multiply
    436.60x = 654.90 × 263.80
  4. Step 4: Simplify right side
    436.60x = 172,762.62
  5. Step 5: Solve for x
    x = 172,762.62/436.60
  6. Step 6: Final answer
    x = 395.70

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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.