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Finding the Fourth Proportional to 428.59, 642.72 and 165.01

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Solution

The fourth proportional to 428.59, 642.72 and 165.01 is: 247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.59 : 642.72 = 165.01 : x
  2. Step 2: Convert to fraction form
    428.59/642.72 = 165.01/x
  3. Step 3: Cross multiply
    428.59x = 642.72 × 165.01
  4. Step 4: Simplify right side
    428.59x = 106,052.01
  5. Step 5: Solve for x
    x = 106,052.01/428.59
  6. Step 6: Final answer
    x = 247.45

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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.