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Finding the Fourth Proportional to 466.68, 695.91 and 433.23

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Solution

The fourth proportional to 466.68, 695.91 and 433.23 is: 646.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.68 : 695.91 = 433.23 : x
  2. Step 2: Convert to fraction form
    466.68/695.91 = 433.23/x
  3. Step 3: Cross multiply
    466.68x = 695.91 × 433.23
  4. Step 4: Simplify right side
    466.68x = 301,489.09
  5. Step 5: Solve for x
    x = 301,489.09/466.68
  6. Step 6: Final answer
    x = 646.03

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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.