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Finding the Fourth Proportional to 386.66, 580.36 and 365.85

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Solution

The fourth proportional to 386.66, 580.36 and 365.85 is: 549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.66 : 580.36 = 365.85 : x
  2. Step 2: Convert to fraction form
    386.66/580.36 = 365.85/x
  3. Step 3: Cross multiply
    386.66x = 580.36 × 365.85
  4. Step 4: Simplify right side
    386.66x = 212,324.71
  5. Step 5: Solve for x
    x = 212,324.71/386.66
  6. Step 6: Final answer
    x = 549.13

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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.