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Finding the Fourth Proportional to 388.44, 535.02 and 314.70

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Solution

The fourth proportional to 388.44, 535.02 and 314.70 is: 433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.44 : 535.02 = 314.70 : x
  2. Step 2: Convert to fraction form
    388.44/535.02 = 314.70/x
  3. Step 3: Cross multiply
    388.44x = 535.02 × 314.70
  4. Step 4: Simplify right side
    388.44x = 168,370.79
  5. Step 5: Solve for x
    x = 168,370.79/388.44
  6. Step 6: Final answer
    x = 433.45

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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.