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Finding the Fourth Proportional to 501.82, 752.22 and 284.94

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Solution

The fourth proportional to 501.82, 752.22 and 284.94 is: 427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.82 : 752.22 = 284.94 : x
  2. Step 2: Convert to fraction form
    501.82/752.22 = 284.94/x
  3. Step 3: Cross multiply
    501.82x = 752.22 × 284.94
  4. Step 4: Simplify right side
    501.82x = 214,337.57
  5. Step 5: Solve for x
    x = 214,337.57/501.82
  6. Step 6: Final answer
    x = 427.12

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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.