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Finding the Fourth Proportional to 532.83, 735.21 and 336.60

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Solution

The fourth proportional to 532.83, 735.21 and 336.60 is: 464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.83 : 735.21 = 336.60 : x
  2. Step 2: Convert to fraction form
    532.83/735.21 = 336.60/x
  3. Step 3: Cross multiply
    532.83x = 735.21 × 336.60
  4. Step 4: Simplify right side
    532.83x = 247,471.69
  5. Step 5: Solve for x
    x = 247,471.69/532.83
  6. Step 6: Final answer
    x = 464.45

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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.