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Finding the Fourth Proportional to 366.36, 549.60 and 365.07

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Solution

The fourth proportional to 366.36, 549.60 and 365.07 is: 547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.36 : 549.60 = 365.07 : x
  2. Step 2: Convert to fraction form
    366.36/549.60 = 365.07/x
  3. Step 3: Cross multiply
    366.36x = 549.60 × 365.07
  4. Step 4: Simplify right side
    366.36x = 200,642.47
  5. Step 5: Solve for x
    x = 200,642.47/366.36
  6. Step 6: Final answer
    x = 547.66

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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.