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Finding the Fourth Proportional to 532.33, 734.97 and 333.46

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Solution

The fourth proportional to 532.33, 734.97 and 333.46 is: 460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.33 : 734.97 = 333.46 : x
  2. Step 2: Convert to fraction form
    532.33/734.97 = 333.46/x
  3. Step 3: Cross multiply
    532.33x = 734.97 × 333.46
  4. Step 4: Simplify right side
    532.33x = 245,083.10
  5. Step 5: Solve for x
    x = 245,083.10/532.33
  6. Step 6: Final answer
    x = 460.40

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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.