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Finding the Fourth Proportional to 536.83, 739.07 and 506.06

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Solution

The fourth proportional to 536.83, 739.07 and 506.06 is: 696.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.83 : 739.07 = 506.06 : x
  2. Step 2: Convert to fraction form
    536.83/739.07 = 506.06/x
  3. Step 3: Cross multiply
    536.83x = 739.07 × 506.06
  4. Step 4: Simplify right side
    536.83x = 374,019.21
  5. Step 5: Solve for x
    x = 374,019.21/536.83
  6. Step 6: Final answer
    x = 696.72

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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.