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Finding the Fourth Proportional to 603.07, 832.14 and 354.40

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Solution

The fourth proportional to 603.07, 832.14 and 354.40 is: 489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.07 : 832.14 = 354.40 : x
  2. Step 2: Convert to fraction form
    603.07/832.14 = 354.40/x
  3. Step 3: Cross multiply
    603.07x = 832.14 × 354.40
  4. Step 4: Simplify right side
    603.07x = 294,910.42
  5. Step 5: Solve for x
    x = 294,910.42/603.07
  6. Step 6: Final answer
    x = 489.02

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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.