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Finding the Fourth Proportional to 416.65, 623.42 and 261.85

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Solution

The fourth proportional to 416.65, 623.42 and 261.85 is: 391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.65 : 623.42 = 261.85 : x
  2. Step 2: Convert to fraction form
    416.65/623.42 = 261.85/x
  3. Step 3: Cross multiply
    416.65x = 623.42 × 261.85
  4. Step 4: Simplify right side
    416.65x = 163,242.53
  5. Step 5: Solve for x
    x = 163,242.53/416.65
  6. Step 6: Final answer
    x = 391.80

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Why These Related Problems?

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