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Finding the Fourth Proportional to 388.08, 535.34 and 294.67

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Solution

The fourth proportional to 388.08, 535.34 and 294.67 is: 406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.08 : 535.34 = 294.67 : x
  2. Step 2: Convert to fraction form
    388.08/535.34 = 294.67/x
  3. Step 3: Cross multiply
    388.08x = 535.34 × 294.67
  4. Step 4: Simplify right side
    388.08x = 157,748.04
  5. Step 5: Solve for x
    x = 157,748.04/388.08
  6. Step 6: Final answer
    x = 406.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.