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Finding the Fourth Proportional to 549.50, 757.73 and 431.25

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Solution

The fourth proportional to 549.50, 757.73 and 431.25 is: 594.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.50 : 757.73 = 431.25 : x
  2. Step 2: Convert to fraction form
    549.50/757.73 = 431.25/x
  3. Step 3: Cross multiply
    549.50x = 757.73 × 431.25
  4. Step 4: Simplify right side
    549.50x = 326,768.91
  5. Step 5: Solve for x
    x = 326,768.91/549.50
  6. Step 6: Final answer
    x = 594.67

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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.