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Finding the Fourth Proportional to 388.14, 535.95 and 301.74

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Solution

The fourth proportional to 388.14, 535.95 and 301.74 is: 416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.14 : 535.95 = 301.74 : x
  2. Step 2: Convert to fraction form
    388.14/535.95 = 301.74/x
  3. Step 3: Cross multiply
    388.14x = 535.95 × 301.74
  4. Step 4: Simplify right side
    388.14x = 161,717.55
  5. Step 5: Solve for x
    x = 161,717.55/388.14
  6. Step 6: Final answer
    x = 416.65

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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.