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Finding the Fourth Proportional to 388.24, 581.67 and 205.23

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Solution

The fourth proportional to 388.24, 581.67 and 205.23 is: 307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.24 : 581.67 = 205.23 : x
  2. Step 2: Convert to fraction form
    388.24/581.67 = 205.23/x
  3. Step 3: Cross multiply
    388.24x = 581.67 × 205.23
  4. Step 4: Simplify right side
    388.24x = 119,373.23
  5. Step 5: Solve for x
    x = 119,373.23/388.24
  6. Step 6: Final answer
    x = 307.47

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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.