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Finding the Fourth Proportional to 501.36, 751.73 and 281.86

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Solution

The fourth proportional to 501.36, 751.73 and 281.86 is: 422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.36 : 751.73 = 281.86 : x
  2. Step 2: Convert to fraction form
    501.36/751.73 = 281.86/x
  3. Step 3: Cross multiply
    501.36x = 751.73 × 281.86
  4. Step 4: Simplify right side
    501.36x = 211,885.14
  5. Step 5: Solve for x
    x = 211,885.14/501.36
  6. Step 6: Final answer
    x = 422.62

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Why These Related Problems?

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