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Finding the Fourth Proportional to 601.25, 897.22 and 536.45

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Solution

The fourth proportional to 601.25, 897.22 and 536.45 is: 800.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.25 : 897.22 = 536.45 : x
  2. Step 2: Convert to fraction form
    601.25/897.22 = 536.45/x
  3. Step 3: Cross multiply
    601.25x = 897.22 × 536.45
  4. Step 4: Simplify right side
    601.25x = 481,315.01
  5. Step 5: Solve for x
    x = 481,315.01/601.25
  6. Step 6: Final answer
    x = 800.52

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