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Finding the Fourth Proportional to 345.19, 476.32 and 205.31

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Solution

The fourth proportional to 345.19, 476.32 and 205.31 is: 283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.19 : 476.32 = 205.31 : x
  2. Step 2: Convert to fraction form
    345.19/476.32 = 205.31/x
  3. Step 3: Cross multiply
    345.19x = 476.32 × 205.31
  4. Step 4: Simplify right side
    345.19x = 97,793.26
  5. Step 5: Solve for x
    x = 97,793.26/345.19
  6. Step 6: Final answer
    x = 283.30

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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.