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Finding the Fourth Proportional to 341.84, 512.94 and 328.52

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Solution

The fourth proportional to 341.84, 512.94 and 328.52 is: 492.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.84 : 512.94 = 328.52 : x
  2. Step 2: Convert to fraction form
    341.84/512.94 = 328.52/x
  3. Step 3: Cross multiply
    341.84x = 512.94 × 328.52
  4. Step 4: Simplify right side
    341.84x = 168,511.05
  5. Step 5: Solve for x
    x = 168,511.05/341.84
  6. Step 6: Final answer
    x = 492.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.