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Finding the Fourth Proportional to 345.81, 477.28 and 205.95

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Solution

The fourth proportional to 345.81, 477.28 and 205.95 is: 284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.81 : 477.28 = 205.95 : x
  2. Step 2: Convert to fraction form
    345.81/477.28 = 205.95/x
  3. Step 3: Cross multiply
    345.81x = 477.28 × 205.95
  4. Step 4: Simplify right side
    345.81x = 98,295.82
  5. Step 5: Solve for x
    x = 98,295.82/345.81
  6. Step 6: Final answer
    x = 284.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.