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Finding the Fourth Proportional to 509.42, 762.36 and 314.34

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Solution

The fourth proportional to 509.42, 762.36 and 314.34 is: 470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.42 : 762.36 = 314.34 : x
  2. Step 2: Convert to fraction form
    509.42/762.36 = 314.34/x
  3. Step 3: Cross multiply
    509.42x = 762.36 × 314.34
  4. Step 4: Simplify right side
    509.42x = 239,640.24
  5. Step 5: Solve for x
    x = 239,640.24/509.42
  6. Step 6: Final answer
    x = 470.42

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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.