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Finding the Fourth Proportional to 386.13, 580.20 and 384.10

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Solution

The fourth proportional to 386.13, 580.20 and 384.10 is: 577.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.13 : 580.20 = 384.10 : x
  2. Step 2: Convert to fraction form
    386.13/580.20 = 384.10/x
  3. Step 3: Cross multiply
    386.13x = 580.20 × 384.10
  4. Step 4: Simplify right side
    386.13x = 222,854.82
  5. Step 5: Solve for x
    x = 222,854.82/386.13
  6. Step 6: Final answer
    x = 577.15

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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.