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Finding the Fourth Proportional to 501.12, 751.76 and 284.44

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Solution

The fourth proportional to 501.12, 751.76 and 284.44 is: 426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.12 : 751.76 = 284.44 : x
  2. Step 2: Convert to fraction form
    501.12/751.76 = 284.44/x
  3. Step 3: Cross multiply
    501.12x = 751.76 × 284.44
  4. Step 4: Simplify right side
    501.12x = 213,830.61
  5. Step 5: Solve for x
    x = 213,830.61/501.12
  6. Step 6: Final answer
    x = 426.71

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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.