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Finding the Fourth Proportional to 536.46, 803.32 and 374.25

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Solution

The fourth proportional to 536.46, 803.32 and 374.25 is: 560.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.46 : 803.32 = 374.25 : x
  2. Step 2: Convert to fraction form
    536.46/803.32 = 374.25/x
  3. Step 3: Cross multiply
    536.46x = 803.32 × 374.25
  4. Step 4: Simplify right side
    536.46x = 300,644.59
  5. Step 5: Solve for x
    x = 300,644.59/536.46
  6. Step 6: Final answer
    x = 560.43

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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.