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Finding the Fourth Proportional to 428.58, 643.05 and 185.16

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Solution

The fourth proportional to 428.58, 643.05 and 185.16 is: 277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.58 : 643.05 = 185.16 : x
  2. Step 2: Convert to fraction form
    428.58/643.05 = 185.16/x
  3. Step 3: Cross multiply
    428.58x = 643.05 × 185.16
  4. Step 4: Simplify right side
    428.58x = 119,067.14
  5. Step 5: Solve for x
    x = 119,067.14/428.58
  6. Step 6: Final answer
    x = 277.82

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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.