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Finding the Fourth Proportional to 354.63, 489.24 and 214.77

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Solution

The fourth proportional to 354.63, 489.24 and 214.77 is: 296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.63 : 489.24 = 214.77 : x
  2. Step 2: Convert to fraction form
    354.63/489.24 = 214.77/x
  3. Step 3: Cross multiply
    354.63x = 489.24 × 214.77
  4. Step 4: Simplify right side
    354.63x = 105,074.07
  5. Step 5: Solve for x
    x = 105,074.07/354.63
  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.