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Finding the Fourth Proportional to 348.84, 520.71 and 323.14

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Solution

The fourth proportional to 348.84, 520.71 and 323.14 is: 482.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.84 : 520.71 = 323.14 : x
  2. Step 2: Convert to fraction form
    348.84/520.71 = 323.14/x
  3. Step 3: Cross multiply
    348.84x = 520.71 × 323.14
  4. Step 4: Simplify right side
    348.84x = 168,262.23
  5. Step 5: Solve for x
    x = 168,262.23/348.84
  6. Step 6: Final answer
    x = 482.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.