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Finding the Fourth Proportional to 433.98, 598.82 and 259.28

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Solution

The fourth proportional to 433.98, 598.82 and 259.28 is: 357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.98 : 598.82 = 259.28 : x
  2. Step 2: Convert to fraction form
    433.98/598.82 = 259.28/x
  3. Step 3: Cross multiply
    433.98x = 598.82 × 259.28
  4. Step 4: Simplify right side
    433.98x = 155,262.05
  5. Step 5: Solve for x
    x = 155,262.05/433.98
  6. Step 6: Final answer
    x = 357.76

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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.