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Finding the Fourth Proportional to 549.50, 758.33 and 300.83

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Solution

The fourth proportional to 549.50, 758.33 and 300.83 is: 415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.50 : 758.33 = 300.83 : x
  2. Step 2: Convert to fraction form
    549.50/758.33 = 300.83/x
  3. Step 3: Cross multiply
    549.50x = 758.33 × 300.83
  4. Step 4: Simplify right side
    549.50x = 228,128.41
  5. Step 5: Solve for x
    x = 228,128.41/549.50
  6. Step 6: Final answer
    x = 415.16

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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.