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Finding the Fourth Proportional to 418.36, 624.20 and 356.80

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Solution

The fourth proportional to 418.36, 624.20 and 356.80 is: 532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.36 : 624.20 = 356.80 : x
  2. Step 2: Convert to fraction form
    418.36/624.20 = 356.80/x
  3. Step 3: Cross multiply
    418.36x = 624.20 × 356.80
  4. Step 4: Simplify right side
    418.36x = 222,714.56
  5. Step 5: Solve for x
    x = 222,714.56/418.36
  6. Step 6: Final answer
    x = 532.35

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