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Finding the Fourth Proportional to 603.18, 832.34 and 354.30

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Solution

The fourth proportional to 603.18, 832.34 and 354.30 is: 488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.18 : 832.34 = 354.30 : x
  2. Step 2: Convert to fraction form
    603.18/832.34 = 354.30/x
  3. Step 3: Cross multiply
    603.18x = 832.34 × 354.30
  4. Step 4: Simplify right side
    603.18x = 294,898.06
  5. Step 5: Solve for x
    x = 294,898.06/603.18
  6. Step 6: Final answer
    x = 488.91

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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.