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Finding the Fourth Proportional to 341.83, 471.52 and 259.26

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Solution

The fourth proportional to 341.83, 471.52 and 259.26 is: 357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.83 : 471.52 = 259.26 : x
  2. Step 2: Convert to fraction form
    341.83/471.52 = 259.26/x
  3. Step 3: Cross multiply
    341.83x = 471.52 × 259.26
  4. Step 4: Simplify right side
    341.83x = 122,246.28
  5. Step 5: Solve for x
    x = 122,246.28/341.83
  6. Step 6: Final answer
    x = 357.62

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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.