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Finding the Fourth Proportional to 509.76, 764.13 and 407.22

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Solution

The fourth proportional to 509.76, 764.13 and 407.22 is: 610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.76 : 764.13 = 407.22 : x
  2. Step 2: Convert to fraction form
    509.76/764.13 = 407.22/x
  3. Step 3: Cross multiply
    509.76x = 764.13 × 407.22
  4. Step 4: Simplify right side
    509.76x = 311,169.02
  5. Step 5: Solve for x
    x = 311,169.02/509.76
  6. Step 6: Final answer
    x = 610.42

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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.