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Finding the Fourth Proportional to 509.69, 764.84 and 469.60

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Solution

The fourth proportional to 509.69, 764.84 and 469.60 is: 704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.69 : 764.84 = 469.60 : x
  2. Step 2: Convert to fraction form
    509.69/764.84 = 469.60/x
  3. Step 3: Cross multiply
    509.69x = 764.84 × 469.60
  4. Step 4: Simplify right side
    509.69x = 359,168.13
  5. Step 5: Solve for x
    x = 359,168.13/509.69
  6. Step 6: Final answer
    x = 704.68

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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.