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Finding the Fourth Proportional to 536.40, 739.80 and 339.96

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Solution

The fourth proportional to 536.40, 739.80 and 339.96 is: 468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.40 : 739.80 = 339.96 : x
  2. Step 2: Convert to fraction form
    536.40/739.80 = 339.96/x
  3. Step 3: Cross multiply
    536.40x = 739.80 × 339.96
  4. Step 4: Simplify right side
    536.40x = 251,502.41
  5. Step 5: Solve for x
    x = 251,502.41/536.40
  6. Step 6: Final answer
    x = 468.87

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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.