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Finding the Fourth Proportional to 386.62, 577.66 and 339.73

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Solution

The fourth proportional to 386.62, 577.66 and 339.73 is: 507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.62 : 577.66 = 339.73 : x
  2. Step 2: Convert to fraction form
    386.62/577.66 = 339.73/x
  3. Step 3: Cross multiply
    386.62x = 577.66 × 339.73
  4. Step 4: Simplify right side
    386.62x = 196,248.43
  5. Step 5: Solve for x
    x = 196,248.43/386.62
  6. Step 6: Final answer
    x = 507.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.