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Finding the Fourth Proportional to 345.69, 477.03 and 205.83

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Solution

The fourth proportional to 345.69, 477.03 and 205.83 is: 284.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.69 : 477.03 = 205.83 : x
  2. Step 2: Convert to fraction form
    345.69/477.03 = 205.83/x
  3. Step 3: Cross multiply
    345.69x = 477.03 × 205.83
  4. Step 4: Simplify right side
    345.69x = 98,187.08
  5. Step 5: Solve for x
    x = 98,187.08/345.69
  6. Step 6: Final answer
    x = 284.03

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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.