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Finding the Fourth Proportional to 345.17, 476.39 and 205.29

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Solution

The fourth proportional to 345.17, 476.39 and 205.29 is: 283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.17 : 476.39 = 205.29 : x
  2. Step 2: Convert to fraction form
    345.17/476.39 = 205.29/x
  3. Step 3: Cross multiply
    345.17x = 476.39 × 205.29
  4. Step 4: Simplify right side
    345.17x = 97,798.62
  5. Step 5: Solve for x
    x = 97,798.62/345.17
  6. Step 6: Final answer
    x = 283.33

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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.