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Finding the Fourth Proportional to 428.92, 591.99 and 242.42

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Solution

The fourth proportional to 428.92, 591.99 and 242.42 is: 334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.92 : 591.99 = 242.42 : x
  2. Step 2: Convert to fraction form
    428.92/591.99 = 242.42/x
  3. Step 3: Cross multiply
    428.92x = 591.99 × 242.42
  4. Step 4: Simplify right side
    428.92x = 143,508.16
  5. Step 5: Solve for x
    x = 143,508.16/428.92
  6. Step 6: Final answer
    x = 334.58

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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.