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Finding the Fourth Proportional to 345.17, 476.29 and 205.30

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Solution

The fourth proportional to 345.17, 476.29 and 205.30 is: 283.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.17 : 476.29 = 205.30 : x
  2. Step 2: Convert to fraction form
    345.17/476.29 = 205.30/x
  3. Step 3: Cross multiply
    345.17x = 476.29 × 205.30
  4. Step 4: Simplify right side
    345.17x = 97,783.19
  5. Step 5: Solve for x
    x = 97,783.19/345.17
  6. Step 6: Final answer
    x = 283.29

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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.