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Finding the Fourth Proportional to 532.26, 734.00 and 335.70

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Solution

The fourth proportional to 532.26, 734.00 and 335.70 is: 462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.26 : 734.00 = 335.70 : x
  2. Step 2: Convert to fraction form
    532.26/734.00 = 335.70/x
  3. Step 3: Cross multiply
    532.26x = 734.00 × 335.70
  4. Step 4: Simplify right side
    532.26x = 246,402.12
  5. Step 5: Solve for x
    x = 246,402.12/532.26
  6. Step 6: Final answer
    x = 462.94

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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.