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Finding the Fourth Proportional to 433.43, 598.49 and 286.35

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Solution

The fourth proportional to 433.43, 598.49 and 286.35 is: 395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.43 : 598.49 = 286.35 : x
  2. Step 2: Convert to fraction form
    433.43/598.49 = 286.35/x
  3. Step 3: Cross multiply
    433.43x = 598.49 × 286.35
  4. Step 4: Simplify right side
    433.43x = 171,377.61
  5. Step 5: Solve for x
    x = 171,377.61/433.43
  6. Step 6: Final answer
    x = 395.40

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