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Finding the Fourth Proportional to 603.60, 904.08 and 314.43

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Solution

The fourth proportional to 603.60, 904.08 and 314.43 is: 470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.60 : 904.08 = 314.43 : x
  2. Step 2: Convert to fraction form
    603.60/904.08 = 314.43/x
  3. Step 3: Cross multiply
    603.60x = 904.08 × 314.43
  4. Step 4: Simplify right side
    603.60x = 284,269.87
  5. Step 5: Solve for x
    x = 284,269.87/603.60
  6. Step 6: Final answer
    x = 470.96

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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.