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Finding the Fourth Proportional to 428.57, 591.35 and 242.06

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Solution

The fourth proportional to 428.57, 591.35 and 242.06 is: 333.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.57 : 591.35 = 242.06 : x
  2. Step 2: Convert to fraction form
    428.57/591.35 = 242.06/x
  3. Step 3: Cross multiply
    428.57x = 591.35 × 242.06
  4. Step 4: Simplify right side
    428.57x = 143,138.01
  5. Step 5: Solve for x
    x = 143,138.01/428.57
  6. Step 6: Final answer
    x = 333.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.