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Finding the Fourth Proportional to 509.51, 763.98 and 451.08

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Solution

The fourth proportional to 509.51, 763.98 and 451.08 is: 676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.51 : 763.98 = 451.08 : x
  2. Step 2: Convert to fraction form
    509.51/763.98 = 451.08/x
  3. Step 3: Cross multiply
    509.51x = 763.98 × 451.08
  4. Step 4: Simplify right side
    509.51x = 344,616.10
  5. Step 5: Solve for x
    x = 344,616.10/509.51
  6. Step 6: Final answer
    x = 676.37

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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.