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Finding the Fourth Proportional to 536.70, 804.38 and 305.78

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Solution

The fourth proportional to 536.70, 804.38 and 305.78 is: 458.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.70 : 804.38 = 305.78 : x
  2. Step 2: Convert to fraction form
    536.70/804.38 = 305.78/x
  3. Step 3: Cross multiply
    536.70x = 804.38 × 305.78
  4. Step 4: Simplify right side
    536.70x = 245,963.32
  5. Step 5: Solve for x
    x = 245,963.32/536.70
  6. Step 6: Final answer
    x = 458.29

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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.