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Finding the Fourth Proportional to 509.19, 762.39 and 326.04

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Solution

The fourth proportional to 509.19, 762.39 and 326.04 is: 488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.19 : 762.39 = 326.04 : x
  2. Step 2: Convert to fraction form
    509.19/762.39 = 326.04/x
  3. Step 3: Cross multiply
    509.19x = 762.39 × 326.04
  4. Step 4: Simplify right side
    509.19x = 248,569.64
  5. Step 5: Solve for x
    x = 248,569.64/509.19
  6. Step 6: Final answer
    x = 488.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.