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Finding the Fourth Proportional to 348.39, 522.59 and 324.09

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Solution

The fourth proportional to 348.39, 522.59 and 324.09 is: 486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.39 : 522.59 = 324.09 : x
  2. Step 2: Convert to fraction form
    348.39/522.59 = 324.09/x
  3. Step 3: Cross multiply
    348.39x = 522.59 × 324.09
  4. Step 4: Simplify right side
    348.39x = 169,364.57
  5. Step 5: Solve for x
    x = 169,364.57/348.39
  6. Step 6: Final answer
    x = 486.14

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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.