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Finding the Fourth Proportional to 354.65, 489.33 and 256.23

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Solution

The fourth proportional to 354.65, 489.33 and 256.23 is: 353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.65 : 489.33 = 256.23 : x
  2. Step 2: Convert to fraction form
    354.65/489.33 = 256.23/x
  3. Step 3: Cross multiply
    354.65x = 489.33 × 256.23
  4. Step 4: Simplify right side
    354.65x = 125,381.03
  5. Step 5: Solve for x
    x = 125,381.03/354.65
  6. Step 6: Final answer
    x = 353.54

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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.