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Finding the Fourth Proportional to 536.34, 739.71 and 359.58

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Solution

The fourth proportional to 536.34, 739.71 and 359.58 is: 495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.34 : 739.71 = 359.58 : x
  2. Step 2: Convert to fraction form
    536.34/739.71 = 359.58/x
  3. Step 3: Cross multiply
    536.34x = 739.71 × 359.58
  4. Step 4: Simplify right side
    536.34x = 265,984.92
  5. Step 5: Solve for x
    x = 265,984.92/536.34
  6. Step 6: Final answer
    x = 495.93

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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.