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Finding the Fourth Proportional to 348.23, 522.41 and 302.46

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Solution

The fourth proportional to 348.23, 522.41 and 302.46 is: 453.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.23 : 522.41 = 302.46 : x
  2. Step 2: Convert to fraction form
    348.23/522.41 = 302.46/x
  3. Step 3: Cross multiply
    348.23x = 522.41 × 302.46
  4. Step 4: Simplify right side
    348.23x = 158,006.62
  5. Step 5: Solve for x
    x = 158,006.62/348.23
  6. Step 6: Final answer
    x = 453.75

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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.