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Finding the Fourth Proportional to 341.06, 511.95 and 219.02

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Solution

The fourth proportional to 341.06, 511.95 and 219.02 is: 328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.06 : 511.95 = 219.02 : x
  2. Step 2: Convert to fraction form
    341.06/511.95 = 219.02/x
  3. Step 3: Cross multiply
    341.06x = 511.95 × 219.02
  4. Step 4: Simplify right side
    341.06x = 112,127.29
  5. Step 5: Solve for x
    x = 112,127.29/341.06
  6. Step 6: Final answer
    x = 328.76

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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.