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Finding the Fourth Proportional to 648.09, 971.60 and 257.92

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Solution

The fourth proportional to 648.09, 971.60 and 257.92 is: 386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.09 : 971.60 = 257.92 : x
  2. Step 2: Convert to fraction form
    648.09/971.60 = 257.92/x
  3. Step 3: Cross multiply
    648.09x = 971.60 × 257.92
  4. Step 4: Simplify right side
    648.09x = 250,598.75
  5. Step 5: Solve for x
    x = 250,598.75/648.09
  6. Step 6: Final answer
    x = 386.67

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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.