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Finding the Fourth Proportional to 536.58, 800.94 and 496.44

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Solution

The fourth proportional to 536.58, 800.94 and 496.44 is: 741.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.58 : 800.94 = 496.44 : x
  2. Step 2: Convert to fraction form
    536.58/800.94 = 496.44/x
  3. Step 3: Cross multiply
    536.58x = 800.94 × 496.44
  4. Step 4: Simplify right side
    536.58x = 397,618.65
  5. Step 5: Solve for x
    x = 397,618.65/536.58
  6. Step 6: Final answer
    x = 741.02

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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.