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Finding the Fourth Proportional to 409.83, 614.67 and 389.31

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Solution

The fourth proportional to 409.83, 614.67 and 389.31 is: 583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.83 : 614.67 = 389.31 : x
  2. Step 2: Convert to fraction form
    409.83/614.67 = 389.31/x
  3. Step 3: Cross multiply
    409.83x = 614.67 × 389.31
  4. Step 4: Simplify right side
    409.83x = 239,297.18
  5. Step 5: Solve for x
    x = 239,297.18/409.83
  6. Step 6: Final answer
    x = 583.89

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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.