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Finding the Fourth Proportional to 500.94, 752.22 and 284.67

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Solution

The fourth proportional to 500.94, 752.22 and 284.67 is: 427.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.94 : 752.22 = 284.67 : x
  2. Step 2: Convert to fraction form
    500.94/752.22 = 284.67/x
  3. Step 3: Cross multiply
    500.94x = 752.22 × 284.67
  4. Step 4: Simplify right side
    500.94x = 214,134.47
  5. Step 5: Solve for x
    x = 214,134.47/500.94
  6. Step 6: Final answer
    x = 427.47

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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.