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Finding the Fourth Proportional to 536.54, 805.72 and 293.54

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Solution

The fourth proportional to 536.54, 805.72 and 293.54 is: 440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.54 : 805.72 = 293.54 : x
  2. Step 2: Convert to fraction form
    536.54/805.72 = 293.54/x
  3. Step 3: Cross multiply
    536.54x = 805.72 × 293.54
  4. Step 4: Simplify right side
    536.54x = 236,511.05
  5. Step 5: Solve for x
    x = 236,511.05/536.54
  6. Step 6: Final answer
    x = 440.81

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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.