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Finding the Fourth Proportional to 536.62, 805.21 and 406.58

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Solution

The fourth proportional to 536.62, 805.21 and 406.58 is: 610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.62 : 805.21 = 406.58 : x
  2. Step 2: Convert to fraction form
    536.62/805.21 = 406.58/x
  3. Step 3: Cross multiply
    536.62x = 805.21 × 406.58
  4. Step 4: Simplify right side
    536.62x = 327,382.28
  5. Step 5: Solve for x
    x = 327,382.28/536.62
  6. Step 6: Final answer
    x = 610.08

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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.