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Finding the Fourth Proportional to 536.67, 804.46 and 305.08

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Solution

The fourth proportional to 536.67, 804.46 and 305.08 is: 457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.67 : 804.46 = 305.08 : x
  2. Step 2: Convert to fraction form
    536.67/804.46 = 305.08/x
  3. Step 3: Cross multiply
    536.67x = 804.46 × 305.08
  4. Step 4: Simplify right side
    536.67x = 245,424.53
  5. Step 5: Solve for x
    x = 245,424.53/536.67
  6. Step 6: Final answer
    x = 457.31

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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.