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Finding the Fourth Proportional to 320.02, 441.38 and 257.85

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Solution

The fourth proportional to 320.02, 441.38 and 257.85 is: 355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.02 : 441.38 = 257.85 : x
  2. Step 2: Convert to fraction form
    320.02/441.38 = 257.85/x
  3. Step 3: Cross multiply
    320.02x = 441.38 × 257.85
  4. Step 4: Simplify right side
    320.02x = 113,810.48
  5. Step 5: Solve for x
    x = 113,810.48/320.02
  6. Step 6: Final answer
    x = 355.64

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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.