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Finding the Fourth Proportional to 480.38, 720.62 and 442.35

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Solution

The fourth proportional to 480.38, 720.62 and 442.35 is: 663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.38 : 720.62 = 442.35 : x
  2. Step 2: Convert to fraction form
    480.38/720.62 = 442.35/x
  3. Step 3: Cross multiply
    480.38x = 720.62 × 442.35
  4. Step 4: Simplify right side
    480.38x = 318,764.05
  5. Step 5: Solve for x
    x = 318,764.05/480.38
  6. Step 6: Final answer
    x = 663.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.