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Finding the Fourth Proportional to 509.30, 763.89 and 144.12

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Solution

The fourth proportional to 509.30, 763.89 and 144.12 is: 216.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.30 : 763.89 = 144.12 : x
  2. Step 2: Convert to fraction form
    509.30/763.89 = 144.12/x
  3. Step 3: Cross multiply
    509.30x = 763.89 × 144.12
  4. Step 4: Simplify right side
    509.30x = 110,091.11
  5. Step 5: Solve for x
    x = 110,091.11/509.30
  6. Step 6: Final answer
    x = 216.16

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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.