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Finding the Fourth Proportional to 370.22, 549.13 and 364.75

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Solution

The fourth proportional to 370.22, 549.13 and 364.75 is: 541.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.22 : 549.13 = 364.75 : x
  2. Step 2: Convert to fraction form
    370.22/549.13 = 364.75/x
  3. Step 3: Cross multiply
    370.22x = 549.13 × 364.75
  4. Step 4: Simplify right side
    370.22x = 200,296.66
  5. Step 5: Solve for x
    x = 200,296.66/370.22
  6. Step 6: Final answer
    x = 541.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.