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Finding the Fourth Proportional to 428.59, 591.33 and 242.09

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Solution

The fourth proportional to 428.59, 591.33 and 242.09 is: 334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.59 : 591.33 = 242.09 : x
  2. Step 2: Convert to fraction form
    428.59/591.33 = 242.09/x
  3. Step 3: Cross multiply
    428.59x = 591.33 × 242.09
  4. Step 4: Simplify right side
    428.59x = 143,155.25
  5. Step 5: Solve for x
    x = 143,155.25/428.59
  6. Step 6: Final answer
    x = 334.01

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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.