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Finding the Fourth Proportional to 536.58, 739.98 and 339.75

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Solution

The fourth proportional to 536.58, 739.98 and 339.75 is: 468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.58 : 739.98 = 339.75 : x
  2. Step 2: Convert to fraction form
    536.58/739.98 = 339.75/x
  3. Step 3: Cross multiply
    536.58x = 739.98 × 339.75
  4. Step 4: Simplify right side
    536.58x = 251,408.21
  5. Step 5: Solve for x
    x = 251,408.21/536.58
  6. Step 6: Final answer
    x = 468.54

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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.