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Finding the Fourth Proportional to 574.16, 790.16 and 549.56

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Solution

The fourth proportional to 574.16, 790.16 and 549.56 is: 756.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.16 : 790.16 = 549.56 : x
  2. Step 2: Convert to fraction form
    574.16/790.16 = 549.56/x
  3. Step 3: Cross multiply
    574.16x = 790.16 × 549.56
  4. Step 4: Simplify right side
    574.16x = 434,240.33
  5. Step 5: Solve for x
    x = 434,240.33/574.16
  6. Step 6: Final answer
    x = 756.31

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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.