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Finding the Fourth Proportional to 501.66, 752.58 and 213.09

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Solution

The fourth proportional to 501.66, 752.58 and 213.09 is: 319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.66 : 752.58 = 213.09 : x
  2. Step 2: Convert to fraction form
    501.66/752.58 = 213.09/x
  3. Step 3: Cross multiply
    501.66x = 752.58 × 213.09
  4. Step 4: Simplify right side
    501.66x = 160,367.27
  5. Step 5: Solve for x
    x = 160,367.27/501.66
  6. Step 6: Final answer
    x = 319.67

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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.