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Finding the Fourth Proportional to 536.85, 805.28 and 342.45

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Solution

The fourth proportional to 536.85, 805.28 and 342.45 is: 513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.85 : 805.28 = 342.45 : x
  2. Step 2: Convert to fraction form
    536.85/805.28 = 342.45/x
  3. Step 3: Cross multiply
    536.85x = 805.28 × 342.45
  4. Step 4: Simplify right side
    536.85x = 275,766.42
  5. Step 5: Solve for x
    x = 275,766.42/536.85
  6. Step 6: Final answer
    x = 513.68

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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.