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Finding the Fourth Proportional to 509.49, 763.90 and 304.09

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Solution

The fourth proportional to 509.49, 763.90 and 304.09 is: 455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.49 : 763.90 = 304.09 : x
  2. Step 2: Convert to fraction form
    509.49/763.90 = 304.09/x
  3. Step 3: Cross multiply
    509.49x = 763.90 × 304.09
  4. Step 4: Simplify right side
    509.49x = 232,291.68
  5. Step 5: Solve for x
    x = 232,291.68/509.49
  6. Step 6: Final answer
    x = 455.93

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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.