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Finding the Fourth Proportional to 536.68, 805.71 and 364.12

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Solution

The fourth proportional to 536.68, 805.71 and 364.12 is: 546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.68 : 805.71 = 364.12 : x
  2. Step 2: Convert to fraction form
    536.68/805.71 = 364.12/x
  3. Step 3: Cross multiply
    536.68x = 805.71 × 364.12
  4. Step 4: Simplify right side
    536.68x = 293,375.13
  5. Step 5: Solve for x
    x = 293,375.13/536.68
  6. Step 6: Final answer
    x = 546.65

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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.