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Finding the Fourth Proportional to 489.87, 734.81 and 258.93

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Solution

The fourth proportional to 489.87, 734.81 and 258.93 is: 388.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.87 : 734.81 = 258.93 : x
  2. Step 2: Convert to fraction form
    489.87/734.81 = 258.93/x
  3. Step 3: Cross multiply
    489.87x = 734.81 × 258.93
  4. Step 4: Simplify right side
    489.87x = 190,263.06
  5. Step 5: Solve for x
    x = 190,263.06/489.87
  6. Step 6: Final answer
    x = 388.40

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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.