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Finding the Fourth Proportional to 532.40, 734.74 and 335.96

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Solution

The fourth proportional to 532.40, 734.74 and 335.96 is: 463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.40 : 734.74 = 335.96 : x
  2. Step 2: Convert to fraction form
    532.40/734.74 = 335.96/x
  3. Step 3: Cross multiply
    532.40x = 734.74 × 335.96
  4. Step 4: Simplify right side
    532.40x = 246,843.25
  5. Step 5: Solve for x
    x = 246,843.25/532.40
  6. Step 6: Final answer
    x = 463.64

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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.