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Finding the Fourth Proportional to 509, 763.26 and 184.36

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Solution

The fourth proportional to 509, 763.26 and 184.36 is: 276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509 : 763.26 = 184.36 : x
  2. Step 2: Convert to fraction form
    509/763.26 = 184.36/x
  3. Step 3: Cross multiply
    509x = 763.26 × 184.36
  4. Step 4: Simplify right side
    509x = 140,714.61
  5. Step 5: Solve for x
    x = 140,714.61/509
  6. Step 6: Final answer
    x = 276.45

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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.