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Finding the Fourth Proportional to 386.20, 577.93 and 335.02

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Solution

The fourth proportional to 386.20, 577.93 and 335.02 is: 501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.20 : 577.93 = 335.02 : x
  2. Step 2: Convert to fraction form
    386.20/577.93 = 335.02/x
  3. Step 3: Cross multiply
    386.20x = 577.93 × 335.02
  4. Step 4: Simplify right side
    386.20x = 193,618.11
  5. Step 5: Solve for x
    x = 193,618.11/386.20
  6. Step 6: Final answer
    x = 501.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.