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Finding the Fourth Proportional to 437.94, 603.32 and 306.72

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Solution

The fourth proportional to 437.94, 603.32 and 306.72 is: 422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.94 : 603.32 = 306.72 : x
  2. Step 2: Convert to fraction form
    437.94/603.32 = 306.72/x
  3. Step 3: Cross multiply
    437.94x = 603.32 × 306.72
  4. Step 4: Simplify right side
    437.94x = 185,048.78
  5. Step 5: Solve for x
    x = 185,048.78/437.94
  6. Step 6: Final answer
    x = 422.54

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Why These Related Problems?

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