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Finding the Fourth Proportional to 341.82, 511.52 and 316.00

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Solution

The fourth proportional to 341.82, 511.52 and 316.00 is: 472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.82 : 511.52 = 316.00 : x
  2. Step 2: Convert to fraction form
    341.82/511.52 = 316.00/x
  3. Step 3: Cross multiply
    341.82x = 511.52 × 316.00
  4. Step 4: Simplify right side
    341.82x = 161,639.38
  5. Step 5: Solve for x
    x = 161,639.38/341.82
  6. Step 6: Final answer
    x = 472.88

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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.