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Finding the Fourth Proportional to 437.77, 604.06 and 282.25

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Solution

The fourth proportional to 437.77, 604.06 and 282.25 is: 389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.77 : 604.06 = 282.25 : x
  2. Step 2: Convert to fraction form
    437.77/604.06 = 282.25/x
  3. Step 3: Cross multiply
    437.77x = 604.06 × 282.25
  4. Step 4: Simplify right side
    437.77x = 170,495.94
  5. Step 5: Solve for x
    x = 170,495.94/437.77
  6. Step 6: Final answer
    x = 389.46

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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.