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Finding the Fourth Proportional to 416.81, 623.67 and 262.02

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Solution

The fourth proportional to 416.81, 623.67 and 262.02 is: 392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.81 : 623.67 = 262.02 : x
  2. Step 2: Convert to fraction form
    416.81/623.67 = 262.02/x
  3. Step 3: Cross multiply
    416.81x = 623.67 × 262.02
  4. Step 4: Simplify right side
    416.81x = 163,411.86
  5. Step 5: Solve for x
    x = 163,411.86/416.81
  6. Step 6: Final answer
    x = 392.05

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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.