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Finding the Fourth Proportional to 603.03, 904.36 and 314.31

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Solution

The fourth proportional to 603.03, 904.36 and 314.31 is: 471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.03 : 904.36 = 314.31 : x
  2. Step 2: Convert to fraction form
    603.03/904.36 = 314.31/x
  3. Step 3: Cross multiply
    603.03x = 904.36 × 314.31
  4. Step 4: Simplify right side
    603.03x = 284,249.39
  5. Step 5: Solve for x
    x = 284,249.39/603.03
  6. Step 6: Final answer
    x = 471.37

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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.