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Finding the Fourth Proportional to 596.16, 822.80 and 448.56

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Solution

The fourth proportional to 596.16, 822.80 and 448.56 is: 619.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.16 : 822.80 = 448.56 : x
  2. Step 2: Convert to fraction form
    596.16/822.80 = 448.56/x
  3. Step 3: Cross multiply
    596.16x = 822.80 × 448.56
  4. Step 4: Simplify right side
    596.16x = 369,075.17
  5. Step 5: Solve for x
    x = 369,075.17/596.16
  6. Step 6: Final answer
    x = 619.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.