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Finding the Fourth Proportional to 465.82, 695.65 and 397.46

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Solution

The fourth proportional to 465.82, 695.65 and 397.46 is: 593.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.82 : 695.65 = 397.46 : x
  2. Step 2: Convert to fraction form
    465.82/695.65 = 397.46/x
  3. Step 3: Cross multiply
    465.82x = 695.65 × 397.46
  4. Step 4: Simplify right side
    465.82x = 276,493.05
  5. Step 5: Solve for x
    x = 276,493.05/465.82
  6. Step 6: Final answer
    x = 593.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.