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Finding the Fourth Proportional to 345.30, 476.47 and 205.46

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Solution

The fourth proportional to 345.30, 476.47 and 205.46 is: 283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.30 : 476.47 = 205.46 : x
  2. Step 2: Convert to fraction form
    345.30/476.47 = 205.46/x
  3. Step 3: Cross multiply
    345.30x = 476.47 × 205.46
  4. Step 4: Simplify right side
    345.30x = 97,895.53
  5. Step 5: Solve for x
    x = 97,895.53/345.30
  6. Step 6: Final answer
    x = 283.51

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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.