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Finding the Fourth Proportional to 416.65, 625.53 and 334.43

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Solution

The fourth proportional to 416.65, 625.53 and 334.43 is: 502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.65 : 625.53 = 334.43 : x
  2. Step 2: Convert to fraction form
    416.65/625.53 = 334.43/x
  3. Step 3: Cross multiply
    416.65x = 625.53 × 334.43
  4. Step 4: Simplify right side
    416.65x = 209,196.00
  5. Step 5: Solve for x
    x = 209,196.00/416.65
  6. Step 6: Final answer
    x = 502.09

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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.