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Finding the Fourth Proportional to 424.30, 582.42 and 376.63

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Solution

The fourth proportional to 424.30, 582.42 and 376.63 is: 516.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.30 : 582.42 = 376.63 : x
  2. Step 2: Convert to fraction form
    424.30/582.42 = 376.63/x
  3. Step 3: Cross multiply
    424.30x = 582.42 × 376.63
  4. Step 4: Simplify right side
    424.30x = 219,356.84
  5. Step 5: Solve for x
    x = 219,356.84/424.30
  6. Step 6: Final answer
    x = 516.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.