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Finding the Fourth Proportional to 501.57, 751.41 and 270.12

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Solution

The fourth proportional to 501.57, 751.41 and 270.12 is: 404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.57 : 751.41 = 270.12 : x
  2. Step 2: Convert to fraction form
    501.57/751.41 = 270.12/x
  3. Step 3: Cross multiply
    501.57x = 751.41 × 270.12
  4. Step 4: Simplify right side
    501.57x = 202,970.87
  5. Step 5: Solve for x
    x = 202,970.87/501.57
  6. Step 6: Final answer
    x = 404.67

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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.