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Finding the Fourth Proportional to 509.24, 762.95 and 266.04

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Solution

The fourth proportional to 509.24, 762.95 and 266.04 is: 398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.24 : 762.95 = 266.04 : x
  2. Step 2: Convert to fraction form
    509.24/762.95 = 266.04/x
  3. Step 3: Cross multiply
    509.24x = 762.95 × 266.04
  4. Step 4: Simplify right side
    509.24x = 202,975.22
  5. Step 5: Solve for x
    x = 202,975.22/509.24
  6. Step 6: Final answer
    x = 398.58

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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.