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Finding the Fourth Proportional to 388.42, 533.08 and 377.62

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Solution

The fourth proportional to 388.42, 533.08 and 377.62 is: 518.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.42 : 533.08 = 377.62 : x
  2. Step 2: Convert to fraction form
    388.42/533.08 = 377.62/x
  3. Step 3: Cross multiply
    388.42x = 533.08 × 377.62
  4. Step 4: Simplify right side
    388.42x = 201,301.67
  5. Step 5: Solve for x
    x = 201,301.67/388.42
  6. Step 6: Final answer
    x = 518.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.