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Finding the Fourth Proportional to 428.69, 591.49 and 242.14

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Solution

The fourth proportional to 428.69, 591.49 and 242.14 is: 334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.69 : 591.49 = 242.14 : x
  2. Step 2: Convert to fraction form
    428.69/591.49 = 242.14/x
  3. Step 3: Cross multiply
    428.69x = 591.49 × 242.14
  4. Step 4: Simplify right side
    428.69x = 143,223.39
  5. Step 5: Solve for x
    x = 143,223.39/428.69
  6. Step 6: Final answer
    x = 334.10

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