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Finding the Fourth Proportional to 364.02, 501.96 and 259.12

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Solution

The fourth proportional to 364.02, 501.96 and 259.12 is: 357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.02 : 501.96 = 259.12 : x
  2. Step 2: Convert to fraction form
    364.02/501.96 = 259.12/x
  3. Step 3: Cross multiply
    364.02x = 501.96 × 259.12
  4. Step 4: Simplify right side
    364.02x = 130,067.88
  5. Step 5: Solve for x
    x = 130,067.88/364.02
  6. Step 6: Final answer
    x = 357.31

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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.