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Finding the Fourth Proportional to 433.49, 598.34 and 411.46

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Solution

The fourth proportional to 433.49, 598.34 and 411.46 is: 567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.49 : 598.34 = 411.46 : x
  2. Step 2: Convert to fraction form
    433.49/598.34 = 411.46/x
  3. Step 3: Cross multiply
    433.49x = 598.34 × 411.46
  4. Step 4: Simplify right side
    433.49x = 246,192.51
  5. Step 5: Solve for x
    x = 246,192.51/433.49
  6. Step 6: Final answer
    x = 567.94

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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.