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Finding the Fourth Proportional to 344.95, 476.06 and 214.00

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Solution

The fourth proportional to 344.95, 476.06 and 214.00 is: 295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.95 : 476.06 = 214.00 : x
  2. Step 2: Convert to fraction form
    344.95/476.06 = 214.00/x
  3. Step 3: Cross multiply
    344.95x = 476.06 × 214.00
  4. Step 4: Simplify right side
    344.95x = 101,874.58
  5. Step 5: Solve for x
    x = 101,874.58/344.95
  6. Step 6: Final answer
    x = 295.33

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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.