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Finding the Fourth Proportional to 433.49, 598.25 and 340.41

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Solution

The fourth proportional to 433.49, 598.25 and 340.41 is: 469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.49 : 598.25 = 340.41 : x
  2. Step 2: Convert to fraction form
    433.49/598.25 = 340.41/x
  3. Step 3: Cross multiply
    433.49x = 598.25 × 340.41
  4. Step 4: Simplify right side
    433.49x = 203,648.14
  5. Step 5: Solve for x
    x = 203,648.14/433.49
  6. Step 6: Final answer
    x = 469.79

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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.