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Finding the Fourth Proportional to 433.82, 598.58 and 259.08

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Solution

The fourth proportional to 433.82, 598.58 and 259.08 is: 357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.82 : 598.58 = 259.08 : x
  2. Step 2: Convert to fraction form
    433.82/598.58 = 259.08/x
  3. Step 3: Cross multiply
    433.82x = 598.58 × 259.08
  4. Step 4: Simplify right side
    433.82x = 155,080.11
  5. Step 5: Solve for x
    x = 155,080.11/433.82
  6. Step 6: Final answer
    x = 357.48

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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.