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Finding the Fourth Proportional to 596.16, 897.48 and 536.63

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Solution

The fourth proportional to 596.16, 897.48 and 536.63 is: 807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.16 : 897.48 = 536.63 : x
  2. Step 2: Convert to fraction form
    596.16/897.48 = 536.63/x
  3. Step 3: Cross multiply
    596.16x = 897.48 × 536.63
  4. Step 4: Simplify right side
    596.16x = 481,610.21
  5. Step 5: Solve for x
    x = 481,610.21/596.16
  6. Step 6: Final answer
    x = 807.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.