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Finding the Fourth Proportional to 482.02, 661.58 and 461.98

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Solution

The fourth proportional to 482.02, 661.58 and 461.98 is: 634.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.02 : 661.58 = 461.98 : x
  2. Step 2: Convert to fraction form
    482.02/661.58 = 461.98/x
  3. Step 3: Cross multiply
    482.02x = 661.58 × 461.98
  4. Step 4: Simplify right side
    482.02x = 305,636.73
  5. Step 5: Solve for x
    x = 305,636.73/482.02
  6. Step 6: Final answer
    x = 634.07

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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.