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Finding the Fourth Proportional to 501.84, 752.28 and 213.44

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Solution

The fourth proportional to 501.84, 752.28 and 213.44 is: 319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.84 : 752.28 = 213.44 : x
  2. Step 2: Convert to fraction form
    501.84/752.28 = 213.44/x
  3. Step 3: Cross multiply
    501.84x = 752.28 × 213.44
  4. Step 4: Simplify right side
    501.84x = 160,566.64
  5. Step 5: Solve for x
    x = 160,566.64/501.84
  6. Step 6: Final answer
    x = 319.96

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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.