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Finding the Fourth Proportional to 433.31, 598.05 and 286.02

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Solution

The fourth proportional to 433.31, 598.05 and 286.02 is: 394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.31 : 598.05 = 286.02 : x
  2. Step 2: Convert to fraction form
    433.31/598.05 = 286.02/x
  3. Step 3: Cross multiply
    433.31x = 598.05 × 286.02
  4. Step 4: Simplify right side
    433.31x = 171,054.26
  5. Step 5: Solve for x
    x = 171,054.26/433.31
  6. Step 6: Final answer
    x = 394.77

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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.