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Finding the Fourth Proportional to 466.14, 695.80 and 445.08

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Solution

The fourth proportional to 466.14, 695.80 and 445.08 is: 664.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.14 : 695.80 = 445.08 : x
  2. Step 2: Convert to fraction form
    466.14/695.80 = 445.08/x
  3. Step 3: Cross multiply
    466.14x = 695.80 × 445.08
  4. Step 4: Simplify right side
    466.14x = 309,686.66
  5. Step 5: Solve for x
    x = 309,686.66/466.14
  6. Step 6: Final answer
    x = 664.36

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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.