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Finding the Fourth Proportional to 437.42, 603.84 and 306.92

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Solution

The fourth proportional to 437.42, 603.84 and 306.92 is: 423.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.42 : 603.84 = 306.92 : x
  2. Step 2: Convert to fraction form
    437.42/603.84 = 306.92/x
  3. Step 3: Cross multiply
    437.42x = 603.84 × 306.92
  4. Step 4: Simplify right side
    437.42x = 185,330.57
  5. Step 5: Solve for x
    x = 185,330.57/437.42
  6. Step 6: Final answer
    x = 423.69

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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.