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Finding the Fourth Proportional to 433.78, 598.64 and 259.10

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Solution

The fourth proportional to 433.78, 598.64 and 259.10 is: 357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.78 : 598.64 = 259.10 : x
  2. Step 2: Convert to fraction form
    433.78/598.64 = 259.10/x
  3. Step 3: Cross multiply
    433.78x = 598.64 × 259.10
  4. Step 4: Simplify right side
    433.78x = 155,107.62
  5. Step 5: Solve for x
    x = 155,107.62/433.78
  6. Step 6: Final answer
    x = 357.57

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Why These Related Problems?

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