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Finding the Fourth Proportional to 535.37, 798.73 and 457.43

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Solution

The fourth proportional to 535.37, 798.73 and 457.43 is: 682.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.37 : 798.73 = 457.43 : x
  2. Step 2: Convert to fraction form
    535.37/798.73 = 457.43/x
  3. Step 3: Cross multiply
    535.37x = 798.73 × 457.43
  4. Step 4: Simplify right side
    535.37x = 365,363.06
  5. Step 5: Solve for x
    x = 365,363.06/535.37
  6. Step 6: Final answer
    x = 682.45

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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.