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Finding the Fourth Proportional to 433.64, 598.24 and 286.24

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Solution

The fourth proportional to 433.64, 598.24 and 286.24 is: 394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.64 : 598.24 = 286.24 : x
  2. Step 2: Convert to fraction form
    433.64/598.24 = 286.24/x
  3. Step 3: Cross multiply
    433.64x = 598.24 × 286.24
  4. Step 4: Simplify right side
    433.64x = 171,240.22
  5. Step 5: Solve for x
    x = 171,240.22/433.64
  6. Step 6: Final answer
    x = 394.89

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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.