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Finding the Fourth Proportional to 478.82, 722.53 and 461.66

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Solution

The fourth proportional to 478.82, 722.53 and 461.66 is: 696.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.82 : 722.53 = 461.66 : x
  2. Step 2: Convert to fraction form
    478.82/722.53 = 461.66/x
  3. Step 3: Cross multiply
    478.82x = 722.53 × 461.66
  4. Step 4: Simplify right side
    478.82x = 333,558.43
  5. Step 5: Solve for x
    x = 333,558.43/478.82
  6. Step 6: Final answer
    x = 696.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.