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Finding the Fourth Proportional to 509.60, 768.38 and 491.60

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Solution

The fourth proportional to 509.60, 768.38 and 491.60 is: 741.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.60 : 768.38 = 491.60 : x
  2. Step 2: Convert to fraction form
    509.60/768.38 = 491.60/x
  3. Step 3: Cross multiply
    509.60x = 768.38 × 491.60
  4. Step 4: Simplify right side
    509.60x = 377,735.61
  5. Step 5: Solve for x
    x = 377,735.61/509.60
  6. Step 6: Final answer
    x = 741.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.