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Finding the Fourth Proportional to 650, 973.96 and 389.84

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Solution

The fourth proportional to 650, 973.96 and 389.84 is: 584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    650 : 973.96 = 389.84 : x
  2. Step 2: Convert to fraction form
    650/973.96 = 389.84/x
  3. Step 3: Cross multiply
    650x = 973.96 × 389.84
  4. Step 4: Simplify right side
    650x = 379,688.57
  5. Step 5: Solve for x
    x = 379,688.57/650
  6. Step 6: Final answer
    x = 584.14

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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.