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Finding the Fourth Proportional to 536.12, 740.26 and 411.58

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Solution

The fourth proportional to 536.12, 740.26 and 411.58 is: 568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.12 : 740.26 = 411.58 : x
  2. Step 2: Convert to fraction form
    536.12/740.26 = 411.58/x
  3. Step 3: Cross multiply
    536.12x = 740.26 × 411.58
  4. Step 4: Simplify right side
    536.12x = 304,673.33
  5. Step 5: Solve for x
    x = 304,673.33/536.12
  6. Step 6: Final answer
    x = 568.30

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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.