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Finding the Fourth Proportional to 603.41, 832.70 and 341.42

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Solution

The fourth proportional to 603.41, 832.70 and 341.42 is: 471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.41 : 832.70 = 341.42 : x
  2. Step 2: Convert to fraction form
    603.41/832.70 = 341.42/x
  3. Step 3: Cross multiply
    603.41x = 832.70 × 341.42
  4. Step 4: Simplify right side
    603.41x = 284,297.12
  5. Step 5: Solve for x
    x = 284,297.12/603.41
  6. Step 6: Final answer
    x = 471.15

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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.