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Finding the Fourth Proportional to 386, 577.65 and 232.01

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Solution

The fourth proportional to 386, 577.65 and 232.01 is: 347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386 : 577.65 = 232.01 : x
  2. Step 2: Convert to fraction form
    386/577.65 = 232.01/x
  3. Step 3: Cross multiply
    386x = 577.65 × 232.01
  4. Step 4: Simplify right side
    386x = 134,020.58
  5. Step 5: Solve for x
    x = 134,020.58/386
  6. Step 6: Final answer
    x = 347.20

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