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Finding the Fourth Proportional to 428.53, 591.29 and 242.01

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Solution

The fourth proportional to 428.53, 591.29 and 242.01 is: 333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.53 : 591.29 = 242.01 : x
  2. Step 2: Convert to fraction form
    428.53/591.29 = 242.01/x
  3. Step 3: Cross multiply
    428.53x = 591.29 × 242.01
  4. Step 4: Simplify right side
    428.53x = 143,098.09
  5. Step 5: Solve for x
    x = 143,098.09/428.53
  6. Step 6: Final answer
    x = 333.93

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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.