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Finding the Fourth Proportional to 548.37, 756.23 and 417.33

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Solution

The fourth proportional to 548.37, 756.23 and 417.33 is: 575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.37 : 756.23 = 417.33 : x
  2. Step 2: Convert to fraction form
    548.37/756.23 = 417.33/x
  3. Step 3: Cross multiply
    548.37x = 756.23 × 417.33
  4. Step 4: Simplify right side
    548.37x = 315,595.38
  5. Step 5: Solve for x
    x = 315,595.38/548.37
  6. Step 6: Final answer
    x = 575.52

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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.