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Finding the Fourth Proportional to 535.45, 798.66 and 488.29

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Solution

The fourth proportional to 535.45, 798.66 and 488.29 is: 728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.45 : 798.66 = 488.29 : x
  2. Step 2: Convert to fraction form
    535.45/798.66 = 488.29/x
  3. Step 3: Cross multiply
    535.45x = 798.66 × 488.29
  4. Step 4: Simplify right side
    535.45x = 389,976.47
  5. Step 5: Solve for x
    x = 389,976.47/535.45
  6. Step 6: Final answer
    x = 728.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.