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Finding the Fourth Proportional to 548.48, 756.34 and 470.07

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Solution

The fourth proportional to 548.48, 756.34 and 470.07 is: 648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.48 : 756.34 = 470.07 : x
  2. Step 2: Convert to fraction form
    548.48/756.34 = 470.07/x
  3. Step 3: Cross multiply
    548.48x = 756.34 × 470.07
  4. Step 4: Simplify right side
    548.48x = 355,531.57
  5. Step 5: Solve for x
    x = 355,531.57/548.48
  6. Step 6: Final answer
    x = 648.21

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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.