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Finding the Fourth Proportional to 536.54, 739.28 and 477.68

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Solution

The fourth proportional to 536.54, 739.28 and 477.68 is: 658.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.54 : 739.28 = 477.68 : x
  2. Step 2: Convert to fraction form
    536.54/739.28 = 477.68/x
  3. Step 3: Cross multiply
    536.54x = 739.28 × 477.68
  4. Step 4: Simplify right side
    536.54x = 353,139.27
  5. Step 5: Solve for x
    x = 353,139.27/536.54
  6. Step 6: Final answer
    x = 658.18

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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.