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Finding the Fourth Proportional to 509.36, 764.60 and 414.32

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Solution

The fourth proportional to 509.36, 764.60 and 414.32 is: 621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.36 : 764.60 = 414.32 : x
  2. Step 2: Convert to fraction form
    509.36/764.60 = 414.32/x
  3. Step 3: Cross multiply
    509.36x = 764.60 × 414.32
  4. Step 4: Simplify right side
    509.36x = 316,789.07
  5. Step 5: Solve for x
    x = 316,789.07/509.36
  6. Step 6: Final answer
    x = 621.94

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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.