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Finding the Fourth Proportional to 536.33, 740.15 and 379.24

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Solution

The fourth proportional to 536.33, 740.15 and 379.24 is: 523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.33 : 740.15 = 379.24 : x
  2. Step 2: Convert to fraction form
    536.33/740.15 = 379.24/x
  3. Step 3: Cross multiply
    536.33x = 740.15 × 379.24
  4. Step 4: Simplify right side
    536.33x = 280,690.74
  5. Step 5: Solve for x
    x = 280,690.74/536.33
  6. Step 6: Final answer
    x = 523.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.