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Finding the Fourth Proportional to 428.64, 643.14 and 185.22

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Solution

The fourth proportional to 428.64, 643.14 and 185.22 is: 277.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.64 : 643.14 = 185.22 : x
  2. Step 2: Convert to fraction form
    428.64/643.14 = 185.22/x
  3. Step 3: Cross multiply
    428.64x = 643.14 × 185.22
  4. Step 4: Simplify right side
    428.64x = 119,122.39
  5. Step 5: Solve for x
    x = 119,122.39/428.64
  6. Step 6: Final answer
    x = 277.91

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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.