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Finding the Fourth Proportional to 433.39, 596.82 and 302.17

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Solution

The fourth proportional to 433.39, 596.82 and 302.17 is: 416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.39 : 596.82 = 302.17 : x
  2. Step 2: Convert to fraction form
    433.39/596.82 = 302.17/x
  3. Step 3: Cross multiply
    433.39x = 596.82 × 302.17
  4. Step 4: Simplify right side
    433.39x = 180,341.10
  5. Step 5: Solve for x
    x = 180,341.10/433.39
  6. Step 6: Final answer
    x = 416.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.