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Finding the Fourth Proportional to 388.29, 580.65 and 289.64

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Solution

The fourth proportional to 388.29, 580.65 and 289.64 is: 433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.29 : 580.65 = 289.64 : x
  2. Step 2: Convert to fraction form
    388.29/580.65 = 289.64/x
  3. Step 3: Cross multiply
    388.29x = 580.65 × 289.64
  4. Step 4: Simplify right side
    388.29x = 168,179.47
  5. Step 5: Solve for x
    x = 168,179.47/388.29
  6. Step 6: Final answer
    x = 433.13

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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.