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Finding the Fourth Proportional to 386.82, 583.52 and 386.01

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Solution

The fourth proportional to 386.82, 583.52 and 386.01 is: 582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.82 : 583.52 = 386.01 : x
  2. Step 2: Convert to fraction form
    386.82/583.52 = 386.01/x
  3. Step 3: Cross multiply
    386.82x = 583.52 × 386.01
  4. Step 4: Simplify right side
    386.82x = 225,242.63
  5. Step 5: Solve for x
    x = 225,242.63/386.82
  6. Step 6: Final answer
    x = 582.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.