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Finding the Fourth Proportional to 437.56, 603.78 and 282.28

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Solution

The fourth proportional to 437.56, 603.78 and 282.28 is: 389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.56 : 603.78 = 282.28 : x
  2. Step 2: Convert to fraction form
    437.56/603.78 = 282.28/x
  3. Step 3: Cross multiply
    437.56x = 603.78 × 282.28
  4. Step 4: Simplify right side
    437.56x = 170,435.02
  5. Step 5: Solve for x
    x = 170,435.02/437.56
  6. Step 6: Final answer
    x = 389.51

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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.