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Finding the Fourth Proportional to 532.89, 735.51 and 336.37

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Solution

The fourth proportional to 532.89, 735.51 and 336.37 is: 464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.89 : 735.51 = 336.37 : x
  2. Step 2: Convert to fraction form
    532.89/735.51 = 336.37/x
  3. Step 3: Cross multiply
    532.89x = 735.51 × 336.37
  4. Step 4: Simplify right side
    532.89x = 247,403.50
  5. Step 5: Solve for x
    x = 247,403.50/532.89
  6. Step 6: Final answer
    x = 464.27

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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.