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Finding the Fourth Proportional to 549.57, 758.37 and 300.84

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Solution

The fourth proportional to 549.57, 758.37 and 300.84 is: 415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.57 : 758.37 = 300.84 : x
  2. Step 2: Convert to fraction form
    549.57/758.37 = 300.84/x
  3. Step 3: Cross multiply
    549.57x = 758.37 × 300.84
  4. Step 4: Simplify right side
    549.57x = 228,144.24
  5. Step 5: Solve for x
    x = 228,144.24/549.57
  6. Step 6: Final answer
    x = 415.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.