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Finding the Fourth Proportional to 536.22, 739.53 and 412.19

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Solution

The fourth proportional to 536.22, 739.53 and 412.19 is: 568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.22 : 739.53 = 412.19 : x
  2. Step 2: Convert to fraction form
    536.22/739.53 = 412.19/x
  3. Step 3: Cross multiply
    536.22x = 739.53 × 412.19
  4. Step 4: Simplify right side
    536.22x = 304,823.17
  5. Step 5: Solve for x
    x = 304,823.17/536.22
  6. Step 6: Final answer
    x = 568.47

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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.