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Finding the Fourth Proportional to 428.91, 643.36 and 140.35

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Solution

The fourth proportional to 428.91, 643.36 and 140.35 is: 210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.91 : 643.36 = 140.35 : x
  2. Step 2: Convert to fraction form
    428.91/643.36 = 140.35/x
  3. Step 3: Cross multiply
    428.91x = 643.36 × 140.35
  4. Step 4: Simplify right side
    428.91x = 90,295.58
  5. Step 5: Solve for x
    x = 90,295.58/428.91
  6. Step 6: Final answer
    x = 210.52

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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.