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Finding the Fourth Proportional to 532.80, 735.31 and 333.77

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Solution

The fourth proportional to 532.80, 735.31 and 333.77 is: 460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.80 : 735.31 = 333.77 : x
  2. Step 2: Convert to fraction form
    532.80/735.31 = 333.77/x
  3. Step 3: Cross multiply
    532.80x = 735.31 × 333.77
  4. Step 4: Simplify right side
    532.80x = 245,424.42
  5. Step 5: Solve for x
    x = 245,424.42/532.80
  6. Step 6: Final answer
    x = 460.63

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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.