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Finding the Fourth Proportional to 437.16, 603.31 and 306.48

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Solution

The fourth proportional to 437.16, 603.31 and 306.48 is: 422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.16 : 603.31 = 306.48 : x
  2. Step 2: Convert to fraction form
    437.16/603.31 = 306.48/x
  3. Step 3: Cross multiply
    437.16x = 603.31 × 306.48
  4. Step 4: Simplify right side
    437.16x = 184,900.57
  5. Step 5: Solve for x
    x = 184,900.57/437.16
  6. Step 6: Final answer
    x = 422.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.