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Finding the Fourth Proportional to 603.40, 902.94 and 345.64

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Solution

The fourth proportional to 603.40, 902.94 and 345.64 is: 517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.40 : 902.94 = 345.64 : x
  2. Step 2: Convert to fraction form
    603.40/902.94 = 345.64/x
  3. Step 3: Cross multiply
    603.40x = 902.94 × 345.64
  4. Step 4: Simplify right side
    603.40x = 312,092.18
  5. Step 5: Solve for x
    x = 312,092.18/603.40
  6. Step 6: Final answer
    x = 517.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.