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Finding the Fourth Proportional to 416.23, 623.65 and 294.25

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Solution

The fourth proportional to 416.23, 623.65 and 294.25 is: 440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.23 : 623.65 = 294.25 : x
  2. Step 2: Convert to fraction form
    416.23/623.65 = 294.25/x
  3. Step 3: Cross multiply
    416.23x = 623.65 × 294.25
  4. Step 4: Simplify right side
    416.23x = 183,509.01
  5. Step 5: Solve for x
    x = 183,509.01/416.23
  6. Step 6: Final answer
    x = 440.88

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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.