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Finding the Fourth Proportional to 354.51, 489.27 and 214.68

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Solution

The fourth proportional to 354.51, 489.27 and 214.68 is: 296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.51 : 489.27 = 214.68 : x
  2. Step 2: Convert to fraction form
    354.51/489.27 = 214.68/x
  3. Step 3: Cross multiply
    354.51x = 489.27 × 214.68
  4. Step 4: Simplify right side
    354.51x = 105,039.12
  5. Step 5: Solve for x
    x = 105,039.12/354.51
  6. Step 6: Final answer
    x = 296.29

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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.