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Finding the Fourth Proportional to 433.50, 597.68 and 286.18

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Solution

The fourth proportional to 433.50, 597.68 and 286.18 is: 394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.50 : 597.68 = 286.18 : x
  2. Step 2: Convert to fraction form
    433.50/597.68 = 286.18/x
  3. Step 3: Cross multiply
    433.50x = 597.68 × 286.18
  4. Step 4: Simplify right side
    433.50x = 171,044.06
  5. Step 5: Solve for x
    x = 171,044.06/433.50
  6. Step 6: Final answer
    x = 394.57

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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.