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Finding the Fourth Proportional to 603.21, 904.86 and 343.08

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Solution

The fourth proportional to 603.21, 904.86 and 343.08 is: 514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.21 : 904.86 = 343.08 : x
  2. Step 2: Convert to fraction form
    603.21/904.86 = 343.08/x
  3. Step 3: Cross multiply
    603.21x = 904.86 × 343.08
  4. Step 4: Simplify right side
    603.21x = 310,439.37
  5. Step 5: Solve for x
    x = 310,439.37/603.21
  6. Step 6: Final answer
    x = 514.65

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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.