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Finding the Fourth Proportional to 416.24, 623.76 and 233.40

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Solution

The fourth proportional to 416.24, 623.76 and 233.40 is: 349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.24 : 623.76 = 233.40 : x
  2. Step 2: Convert to fraction form
    416.24/623.76 = 233.40/x
  3. Step 3: Cross multiply
    416.24x = 623.76 × 233.40
  4. Step 4: Simplify right side
    416.24x = 145,585.58
  5. Step 5: Solve for x
    x = 145,585.58/416.24
  6. Step 6: Final answer
    x = 349.76

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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.