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Finding the Fourth Proportional to 428.63, 591.53 and 242.11

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Solution

The fourth proportional to 428.63, 591.53 and 242.11 is: 334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.63 : 591.53 = 242.11 : x
  2. Step 2: Convert to fraction form
    428.63/591.53 = 242.11/x
  3. Step 3: Cross multiply
    428.63x = 591.53 × 242.11
  4. Step 4: Simplify right side
    428.63x = 143,215.33
  5. Step 5: Solve for x
    x = 143,215.33/428.63
  6. Step 6: Final answer
    x = 334.12

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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.