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Finding the Fourth Proportional to 536.86, 740.97 and 340.42

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Solution

The fourth proportional to 536.86, 740.97 and 340.42 is: 469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.86 : 740.97 = 340.42 : x
  2. Step 2: Convert to fraction form
    536.86/740.97 = 340.42/x
  3. Step 3: Cross multiply
    536.86x = 740.97 × 340.42
  4. Step 4: Simplify right side
    536.86x = 252,241.01
  5. Step 5: Solve for x
    x = 252,241.01/536.86
  6. Step 6: Final answer
    x = 469.85

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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.