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Finding the Fourth Proportional to 480.52, 661.57 and 374.05

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Solution

The fourth proportional to 480.52, 661.57 and 374.05 is: 514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.52 : 661.57 = 374.05 : x
  2. Step 2: Convert to fraction form
    480.52/661.57 = 374.05/x
  3. Step 3: Cross multiply
    480.52x = 661.57 × 374.05
  4. Step 4: Simplify right side
    480.52x = 247,456.43
  5. Step 5: Solve for x
    x = 247,456.43/480.52
  6. Step 6: Final answer
    x = 514.98

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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.