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Finding the Fourth Proportional to 465.21, 641.52 and 348.57

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Solution

The fourth proportional to 465.21, 641.52 and 348.57 is: 480.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.21 : 641.52 = 348.57 : x
  2. Step 2: Convert to fraction form
    465.21/641.52 = 348.57/x
  3. Step 3: Cross multiply
    465.21x = 641.52 × 348.57
  4. Step 4: Simplify right side
    465.21x = 223,614.63
  5. Step 5: Solve for x
    x = 223,614.63/465.21
  6. Step 6: Final answer
    x = 480.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.