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Finding the Fourth Proportional to 428.56, 643.38 and 284.56

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Solution

The fourth proportional to 428.56, 643.38 and 284.56 is: 427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.56 : 643.38 = 284.56 : x
  2. Step 2: Convert to fraction form
    428.56/643.38 = 284.56/x
  3. Step 3: Cross multiply
    428.56x = 643.38 × 284.56
  4. Step 4: Simplify right side
    428.56x = 183,080.21
  5. Step 5: Solve for x
    x = 183,080.21/428.56
  6. Step 6: Final answer
    x = 427.20

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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.