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Finding the Fourth Proportional to 532.94, 735.23 and 323.06

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Solution

The fourth proportional to 532.94, 735.23 and 323.06 is: 445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.94 : 735.23 = 323.06 : x
  2. Step 2: Convert to fraction form
    532.94/735.23 = 323.06/x
  3. Step 3: Cross multiply
    532.94x = 735.23 × 323.06
  4. Step 4: Simplify right side
    532.94x = 237,518.11
  5. Step 5: Solve for x
    x = 237,518.11/532.94
  6. Step 6: Final answer
    x = 445.68

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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.