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Finding the Fourth Proportional to 437.29, 654.63 and 282.77

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Solution

The fourth proportional to 437.29, 654.63 and 282.77 is: 423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.29 : 654.63 = 282.77 : x
  2. Step 2: Convert to fraction form
    437.29/654.63 = 282.77/x
  3. Step 3: Cross multiply
    437.29x = 654.63 × 282.77
  4. Step 4: Simplify right side
    437.29x = 185,107.85
  5. Step 5: Solve for x
    x = 185,107.85/437.29
  6. Step 6: Final answer
    x = 423.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.