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Finding the Fourth Proportional to 326.77, 487.84 and 290.32

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Solution

The fourth proportional to 326.77, 487.84 and 290.32 is: 433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.77 : 487.84 = 290.32 : x
  2. Step 2: Convert to fraction form
    326.77/487.84 = 290.32/x
  3. Step 3: Cross multiply
    326.77x = 487.84 × 290.32
  4. Step 4: Simplify right side
    326.77x = 141,628.31
  5. Step 5: Solve for x
    x = 141,628.31/326.77
  6. Step 6: Final answer
    x = 433.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.