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Finding the Fourth Proportional to 354.63, 489.01 and 242.61

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Solution

The fourth proportional to 354.63, 489.01 and 242.61 is: 334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.63 : 489.01 = 242.61 : x
  2. Step 2: Convert to fraction form
    354.63/489.01 = 242.61/x
  3. Step 3: Cross multiply
    354.63x = 489.01 × 242.61
  4. Step 4: Simplify right side
    354.63x = 118,638.72
  5. Step 5: Solve for x
    x = 118,638.72/354.63
  6. Step 6: Final answer
    x = 334.54

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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.