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Finding the Fourth Proportional to 603.28, 832.14 and 416.44

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Solution

The fourth proportional to 603.28, 832.14 and 416.44 is: 574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.28 : 832.14 = 416.44 : x
  2. Step 2: Convert to fraction form
    603.28/832.14 = 416.44/x
  3. Step 3: Cross multiply
    603.28x = 832.14 × 416.44
  4. Step 4: Simplify right side
    603.28x = 346,536.38
  5. Step 5: Solve for x
    x = 346,536.38/603.28
  6. Step 6: Final answer
    x = 574.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.