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Finding the Fourth Proportional to 428.67, 591.59 and 242.17

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Solution

The fourth proportional to 428.67, 591.59 and 242.17 is: 334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.67 : 591.59 = 242.17 : x
  2. Step 2: Convert to fraction form
    428.67/591.59 = 242.17/x
  3. Step 3: Cross multiply
    428.67x = 591.59 × 242.17
  4. Step 4: Simplify right side
    428.67x = 143,264.48
  5. Step 5: Solve for x
    x = 143,264.48/428.67
  6. Step 6: Final answer
    x = 334.21

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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.