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Finding the Fourth Proportional to 509.08, 763.80 and 252.40

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Solution

The fourth proportional to 509.08, 763.80 and 252.40 is: 378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.08 : 763.80 = 252.40 : x
  2. Step 2: Convert to fraction form
    509.08/763.80 = 252.40/x
  3. Step 3: Cross multiply
    509.08x = 763.80 × 252.40
  4. Step 4: Simplify right side
    509.08x = 192,783.12
  5. Step 5: Solve for x
    x = 192,783.12/509.08
  6. Step 6: Final answer
    x = 378.69

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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.