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Finding the Fourth Proportional to 603.02, 904.47 and 409.27

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Solution

The fourth proportional to 603.02, 904.47 and 409.27 is: 613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.02 : 904.47 = 409.27 : x
  2. Step 2: Convert to fraction form
    603.02/904.47 = 409.27/x
  3. Step 3: Cross multiply
    603.02x = 904.47 × 409.27
  4. Step 4: Simplify right side
    603.02x = 370,168.64
  5. Step 5: Solve for x
    x = 370,168.64/603.02
  6. Step 6: Final answer
    x = 613.86

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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.