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Finding the Fourth Proportional to 433.04, 646.52 and 329.77

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Solution

The fourth proportional to 433.04, 646.52 and 329.77 is: 492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.04 : 646.52 = 329.77 : x
  2. Step 2: Convert to fraction form
    433.04/646.52 = 329.77/x
  3. Step 3: Cross multiply
    433.04x = 646.52 × 329.77
  4. Step 4: Simplify right side
    433.04x = 213,199.67
  5. Step 5: Solve for x
    x = 213,199.67/433.04
  6. Step 6: Final answer
    x = 492.33

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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.