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Finding the Fourth Proportional to 603.24, 832.61 and 354.63

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Solution

The fourth proportional to 603.24, 832.61 and 354.63 is: 489.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.24 : 832.61 = 354.63 : x
  2. Step 2: Convert to fraction form
    603.24/832.61 = 354.63/x
  3. Step 3: Cross multiply
    603.24x = 832.61 × 354.63
  4. Step 4: Simplify right side
    603.24x = 295,266.71
  5. Step 5: Solve for x
    x = 295,266.71/603.24
  6. Step 6: Final answer
    x = 489.47

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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.