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Finding the Fourth Proportional to 536.07, 804.33 and 189.65

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Solution

The fourth proportional to 536.07, 804.33 and 189.65 is: 284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.07 : 804.33 = 189.65 : x
  2. Step 2: Convert to fraction form
    536.07/804.33 = 189.65/x
  3. Step 3: Cross multiply
    536.07x = 804.33 × 189.65
  4. Step 4: Simplify right side
    536.07x = 152,536.21
  5. Step 5: Solve for x
    x = 152,536.21/536.07
  6. Step 6: Final answer
    x = 284.55

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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.