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Finding the Fourth Proportional to 428.70, 643.14 and 266.16

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Solution

The fourth proportional to 428.70, 643.14 and 266.16 is: 399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.70 : 643.14 = 266.16 : x
  2. Step 2: Convert to fraction form
    428.70/643.14 = 266.16/x
  3. Step 3: Cross multiply
    428.70x = 643.14 × 266.16
  4. Step 4: Simplify right side
    428.70x = 171,178.14
  5. Step 5: Solve for x
    x = 171,178.14/428.70
  6. Step 6: Final answer
    x = 399.30

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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.