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Finding the Fourth Proportional to 489.96, 734.58 and 284.49

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Solution

The fourth proportional to 489.96, 734.58 and 284.49 is: 426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.96 : 734.58 = 284.49 : x
  2. Step 2: Convert to fraction form
    489.96/734.58 = 284.49/x
  3. Step 3: Cross multiply
    489.96x = 734.58 × 284.49
  4. Step 4: Simplify right side
    489.96x = 208,980.66
  5. Step 5: Solve for x
    x = 208,980.66/489.96
  6. Step 6: Final answer
    x = 426.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.