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Finding the Fourth Proportional to 548.65, 756.60 and 424.12

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Solution

The fourth proportional to 548.65, 756.60 and 424.12 is: 584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.65 : 756.60 = 424.12 : x
  2. Step 2: Convert to fraction form
    548.65/756.60 = 424.12/x
  3. Step 3: Cross multiply
    548.65x = 756.60 × 424.12
  4. Step 4: Simplify right side
    548.65x = 320,889.19
  5. Step 5: Solve for x
    x = 320,889.19/548.65
  6. Step 6: Final answer
    x = 584.87

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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.