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Finding the Fourth Proportional to 386.56, 533.46 and 288.58

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Solution

The fourth proportional to 386.56, 533.46 and 288.58 is: 398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.56 : 533.46 = 288.58 : x
  2. Step 2: Convert to fraction form
    386.56/533.46 = 288.58/x
  3. Step 3: Cross multiply
    386.56x = 533.46 × 288.58
  4. Step 4: Simplify right side
    386.56x = 153,945.89
  5. Step 5: Solve for x
    x = 153,945.89/386.56
  6. Step 6: Final answer
    x = 398.25

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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.