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Finding the Fourth Proportional to 549.75, 758.70 and 313.77

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Solution

The fourth proportional to 549.75, 758.70 and 313.77 is: 433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.75 : 758.70 = 313.77 : x
  2. Step 2: Convert to fraction form
    549.75/758.70 = 313.77/x
  3. Step 3: Cross multiply
    549.75x = 758.70 × 313.77
  4. Step 4: Simplify right side
    549.75x = 238,057.30
  5. Step 5: Solve for x
    x = 238,057.30/549.75
  6. Step 6: Final answer
    x = 433.03

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