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Finding the Fourth Proportional to 535.16, 802.32 and 323.92

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Solution

The fourth proportional to 535.16, 802.32 and 323.92 is: 485.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.16 : 802.32 = 323.92 : x
  2. Step 2: Convert to fraction form
    535.16/802.32 = 323.92/x
  3. Step 3: Cross multiply
    535.16x = 802.32 × 323.92
  4. Step 4: Simplify right side
    535.16x = 259,887.49
  5. Step 5: Solve for x
    x = 259,887.49/535.16
  6. Step 6: Final answer
    x = 485.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.