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Finding the Fourth Proportional to 466.56, 695.79 and 460.36

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Solution

The fourth proportional to 466.56, 695.79 and 460.36 is: 686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.56 : 695.79 = 460.36 : x
  2. Step 2: Convert to fraction form
    466.56/695.79 = 460.36/x
  3. Step 3: Cross multiply
    466.56x = 695.79 × 460.36
  4. Step 4: Simplify right side
    466.56x = 320,313.88
  5. Step 5: Solve for x
    x = 320,313.88/466.56
  6. Step 6: Final answer
    x = 686.54

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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.