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Finding the Fourth Proportional to 536.31, 803.75 and 305.33

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Solution

The fourth proportional to 536.31, 803.75 and 305.33 is: 457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.31 : 803.75 = 305.33 : x
  2. Step 2: Convert to fraction form
    536.31/803.75 = 305.33/x
  3. Step 3: Cross multiply
    536.31x = 803.75 × 305.33
  4. Step 4: Simplify right side
    536.31x = 245,403.44
  5. Step 5: Solve for x
    x = 245,403.44/536.31
  6. Step 6: Final answer
    x = 457.58

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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.