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Finding the Fourth Proportional to 603.66, 832.94 and 338.10

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Solution

The fourth proportional to 603.66, 832.94 and 338.10 is: 466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.66 : 832.94 = 338.10 : x
  2. Step 2: Convert to fraction form
    603.66/832.94 = 338.10/x
  3. Step 3: Cross multiply
    603.66x = 832.94 × 338.10
  4. Step 4: Simplify right side
    603.66x = 281,617.01
  5. Step 5: Solve for x
    x = 281,617.01/603.66
  6. Step 6: Final answer
    x = 466.52

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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.