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Finding the Fourth Proportional to 460.47, 633.83 and 416.73

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Solution

The fourth proportional to 460.47, 633.83 and 416.73 is: 573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.47 : 633.83 = 416.73 : x
  2. Step 2: Convert to fraction form
    460.47/633.83 = 416.73/x
  3. Step 3: Cross multiply
    460.47x = 633.83 × 416.73
  4. Step 4: Simplify right side
    460.47x = 264,133.89
  5. Step 5: Solve for x
    x = 264,133.89/460.47
  6. Step 6: Final answer
    x = 573.62

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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.