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Finding the Fourth Proportional to 549.50, 758.32 and 300.82

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Solution

The fourth proportional to 549.50, 758.32 and 300.82 is: 415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.50 : 758.32 = 300.82 : x
  2. Step 2: Convert to fraction form
    549.50/758.32 = 300.82/x
  3. Step 3: Cross multiply
    549.50x = 758.32 × 300.82
  4. Step 4: Simplify right side
    549.50x = 228,117.82
  5. Step 5: Solve for x
    x = 228,117.82/549.50
  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.