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Finding the Fourth Proportional to 509.52, 762.38 and 304.20

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Solution

The fourth proportional to 509.52, 762.38 and 304.20 is: 455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.52 : 762.38 = 304.20 : x
  2. Step 2: Convert to fraction form
    509.52/762.38 = 304.20/x
  3. Step 3: Cross multiply
    509.52x = 762.38 × 304.20
  4. Step 4: Simplify right side
    509.52x = 231,916.00
  5. Step 5: Solve for x
    x = 231,916.00/509.52
  6. Step 6: Final answer
    x = 455.17

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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.