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Finding the Fourth Proportional to 480.19, 662.70 and 442.96

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Solution

The fourth proportional to 480.19, 662.70 and 442.96 is: 611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.19 : 662.70 = 442.96 : x
  2. Step 2: Convert to fraction form
    480.19/662.70 = 442.96/x
  3. Step 3: Cross multiply
    480.19x = 662.70 × 442.96
  4. Step 4: Simplify right side
    480.19x = 293,549.59
  5. Step 5: Solve for x
    x = 293,549.59/480.19
  6. Step 6: Final answer
    x = 611.32

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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.