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Finding the Fourth Proportional to 603.06, 832.16 and 341.06

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Solution

The fourth proportional to 603.06, 832.16 and 341.06 is: 470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.06 : 832.16 = 341.06 : x
  2. Step 2: Convert to fraction form
    603.06/832.16 = 341.06/x
  3. Step 3: Cross multiply
    603.06x = 832.16 × 341.06
  4. Step 4: Simplify right side
    603.06x = 283,816.49
  5. Step 5: Solve for x
    x = 283,816.49/603.06
  6. Step 6: Final answer
    x = 470.63

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