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Finding the Fourth Proportional to 466.94, 695.61 and 445.88

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Solution

The fourth proportional to 466.94, 695.61 and 445.88 is: 664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.94 : 695.61 = 445.88 : x
  2. Step 2: Convert to fraction form
    466.94/695.61 = 445.88/x
  3. Step 3: Cross multiply
    466.94x = 695.61 × 445.88
  4. Step 4: Simplify right side
    466.94x = 310,155.11
  5. Step 5: Solve for x
    x = 310,155.11/466.94
  6. Step 6: Final answer
    x = 664.24

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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.