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Finding the Fourth Proportional to 433.45, 598.13 and 256.42

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Solution

The fourth proportional to 433.45, 598.13 and 256.42 is: 353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.45 : 598.13 = 256.42 : x
  2. Step 2: Convert to fraction form
    433.45/598.13 = 256.42/x
  3. Step 3: Cross multiply
    433.45x = 598.13 × 256.42
  4. Step 4: Simplify right side
    433.45x = 153,371.00
  5. Step 5: Solve for x
    x = 153,371.00/433.45
  6. Step 6: Final answer
    x = 353.84

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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.