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Finding the Fourth Proportional to 501.26, 750.74 and 281.54

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Solution

The fourth proportional to 501.26, 750.74 and 281.54 is: 421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.26 : 750.74 = 281.54 : x
  2. Step 2: Convert to fraction form
    501.26/750.74 = 281.54/x
  3. Step 3: Cross multiply
    501.26x = 750.74 × 281.54
  4. Step 4: Simplify right side
    501.26x = 211,363.81
  5. Step 5: Solve for x
    x = 211,363.81/501.26
  6. Step 6: Final answer
    x = 421.67

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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.