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Finding the Fourth Proportional to 509.30, 763.85 and 144.07

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Solution

The fourth proportional to 509.30, 763.85 and 144.07 is: 216.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.30 : 763.85 = 144.07 : x
  2. Step 2: Convert to fraction form
    509.30/763.85 = 144.07/x
  3. Step 3: Cross multiply
    509.30x = 763.85 × 144.07
  4. Step 4: Simplify right side
    509.30x = 110,047.15
  5. Step 5: Solve for x
    x = 110,047.15/509.30
  6. Step 6: Final answer
    x = 216.08

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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.