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Finding the Fourth Proportional to 388.06, 535.35 and 288.70

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Solution

The fourth proportional to 388.06, 535.35 and 288.70 is: 398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.06 : 535.35 = 288.70 : x
  2. Step 2: Convert to fraction form
    388.06/535.35 = 288.70/x
  3. Step 3: Cross multiply
    388.06x = 535.35 × 288.70
  4. Step 4: Simplify right side
    388.06x = 154,555.55
  5. Step 5: Solve for x
    x = 154,555.55/388.06
  6. Step 6: Final answer
    x = 398.28

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