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Finding the Fourth Proportional to 509.30, 762.48 and 315.62

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Solution

The fourth proportional to 509.30, 762.48 and 315.62 is: 472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.30 : 762.48 = 315.62 : x
  2. Step 2: Convert to fraction form
    509.30/762.48 = 315.62/x
  3. Step 3: Cross multiply
    509.30x = 762.48 × 315.62
  4. Step 4: Simplify right side
    509.30x = 240,653.94
  5. Step 5: Solve for x
    x = 240,653.94/509.30
  6. Step 6: Final answer
    x = 472.52

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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.