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Finding the Fourth Proportional to 501.88, 752.82 and 213.52

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Solution

The fourth proportional to 501.88, 752.82 and 213.52 is: 320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.88 : 752.82 = 213.52 : x
  2. Step 2: Convert to fraction form
    501.88/752.82 = 213.52/x
  3. Step 3: Cross multiply
    501.88x = 752.82 × 213.52
  4. Step 4: Simplify right side
    501.88x = 160,742.13
  5. Step 5: Solve for x
    x = 160,742.13/501.88
  6. Step 6: Final answer
    x = 320.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.