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Finding the Fourth Proportional to 345.29, 476.54 and 205.45

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Solution

The fourth proportional to 345.29, 476.54 and 205.45 is: 283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.29 : 476.54 = 205.45 : x
  2. Step 2: Convert to fraction form
    345.29/476.54 = 205.45/x
  3. Step 3: Cross multiply
    345.29x = 476.54 × 205.45
  4. Step 4: Simplify right side
    345.29x = 97,904.47
  5. Step 5: Solve for x
    x = 97,904.47/345.29
  6. Step 6: Final answer
    x = 283.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.