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Finding the Fourth Proportional to 482.40, 662.40 and 446.40

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Solution

The fourth proportional to 482.40, 662.40 and 446.40 is: 612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.40 : 662.40 = 446.40 : x
  2. Step 2: Convert to fraction form
    482.40/662.40 = 446.40/x
  3. Step 3: Cross multiply
    482.40x = 662.40 × 446.40
  4. Step 4: Simplify right side
    482.40x = 295,695.36
  5. Step 5: Solve for x
    x = 295,695.36/482.40
  6. Step 6: Final answer
    x = 612.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.