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Finding the Fourth Proportional to 601.38, 897.41 and 536.58

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Solution

The fourth proportional to 601.38, 897.41 and 536.58 is: 800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.38 : 897.41 = 536.58 : x
  2. Step 2: Convert to fraction form
    601.38/897.41 = 536.58/x
  3. Step 3: Cross multiply
    601.38x = 897.41 × 536.58
  4. Step 4: Simplify right side
    601.38x = 481,527.10
  5. Step 5: Solve for x
    x = 481,527.10/601.38
  6. Step 6: Final answer
    x = 800.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.