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Finding the Fourth Proportional to 433.76, 646.38 and 402.17

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Solution

The fourth proportional to 433.76, 646.38 and 402.17 is: 599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.76 : 646.38 = 402.17 : x
  2. Step 2: Convert to fraction form
    433.76/646.38 = 402.17/x
  3. Step 3: Cross multiply
    433.76x = 646.38 × 402.17
  4. Step 4: Simplify right side
    433.76x = 259,951.41
  5. Step 5: Solve for x
    x = 259,951.41/433.76
  6. Step 6: Final answer
    x = 599.30

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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.