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Finding the Fourth Proportional to 473.54, 651.56 and 461.46

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Solution

The fourth proportional to 473.54, 651.56 and 461.46 is: 634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.54 : 651.56 = 461.46 : x
  2. Step 2: Convert to fraction form
    473.54/651.56 = 461.46/x
  3. Step 3: Cross multiply
    473.54x = 651.56 × 461.46
  4. Step 4: Simplify right side
    473.54x = 300,668.88
  5. Step 5: Solve for x
    x = 300,668.88/473.54
  6. Step 6: Final answer
    x = 634.94

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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.