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Finding the Fourth Proportional to 509.12, 762.60 and 463.22

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Solution

The fourth proportional to 509.12, 762.60 and 463.22 is: 693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.12 : 762.60 = 463.22 : x
  2. Step 2: Convert to fraction form
    509.12/762.60 = 463.22/x
  3. Step 3: Cross multiply
    509.12x = 762.60 × 463.22
  4. Step 4: Simplify right side
    509.12x = 353,251.57
  5. Step 5: Solve for x
    x = 353,251.57/509.12
  6. Step 6: Final answer
    x = 693.85

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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.