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Finding the Fourth Proportional to 501.38, 752.06 and 284.97

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Solution

The fourth proportional to 501.38, 752.06 and 284.97 is: 427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.38 : 752.06 = 284.97 : x
  2. Step 2: Convert to fraction form
    501.38/752.06 = 284.97/x
  3. Step 3: Cross multiply
    501.38x = 752.06 × 284.97
  4. Step 4: Simplify right side
    501.38x = 214,314.54
  5. Step 5: Solve for x
    x = 214,314.54/501.38
  6. Step 6: Final answer
    x = 427.45

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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.