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Finding the Fourth Proportional to 549.54, 758.73 and 419.22

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Solution

The fourth proportional to 549.54, 758.73 and 419.22 is: 578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.54 : 758.73 = 419.22 : x
  2. Step 2: Convert to fraction form
    549.54/758.73 = 419.22/x
  3. Step 3: Cross multiply
    549.54x = 758.73 × 419.22
  4. Step 4: Simplify right side
    549.54x = 318,074.79
  5. Step 5: Solve for x
    x = 318,074.79/549.54
  6. Step 6: Final answer
    x = 578.80

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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.