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Finding the Fourth Proportional to 433.39, 598.01 and 411.51

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Solution

The fourth proportional to 433.39, 598.01 and 411.51 is: 567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.39 : 598.01 = 411.51 : x
  2. Step 2: Convert to fraction form
    433.39/598.01 = 411.51/x
  3. Step 3: Cross multiply
    433.39x = 598.01 × 411.51
  4. Step 4: Simplify right side
    433.39x = 246,087.10
  5. Step 5: Solve for x
    x = 246,087.10/433.39
  6. Step 6: Final answer
    x = 567.82

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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.