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Finding the Fourth Proportional to 416.99, 623.76 and 343.04

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Solution

The fourth proportional to 416.99, 623.76 and 343.04 is: 513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.99 : 623.76 = 343.04 : x
  2. Step 2: Convert to fraction form
    416.99/623.76 = 343.04/x
  3. Step 3: Cross multiply
    416.99x = 623.76 × 343.04
  4. Step 4: Simplify right side
    416.99x = 213,971.51
  5. Step 5: Solve for x
    x = 213,971.51/416.99
  6. Step 6: Final answer
    x = 513.14

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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.