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Finding the Fourth Proportional to 389.59, 588.04 and 389.59

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Solution

The fourth proportional to 389.59, 588.04 and 389.59 is: 588.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.59 : 588.04 = 389.59 : x
  2. Step 2: Convert to fraction form
    389.59/588.04 = 389.59/x
  3. Step 3: Cross multiply
    389.59x = 588.04 × 389.59
  4. Step 4: Simplify right side
    389.59x = 229,094.50
  5. Step 5: Solve for x
    x = 229,094.50/389.59
  6. Step 6: Final answer
    x = 588.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.