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Finding the Fourth Proportional to 428.74, 643.05 and 140.14

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Solution

The fourth proportional to 428.74, 643.05 and 140.14 is: 210.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.74 : 643.05 = 140.14 : x
  2. Step 2: Convert to fraction form
    428.74/643.05 = 140.14/x
  3. Step 3: Cross multiply
    428.74x = 643.05 × 140.14
  4. Step 4: Simplify right side
    428.74x = 90,117.03
  5. Step 5: Solve for x
    x = 90,117.03/428.74
  6. Step 6: Final answer
    x = 210.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.