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Finding the Fourth Proportional to 509.28, 765.52 and 483.68

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Solution

The fourth proportional to 509.28, 765.52 and 483.68 is: 727.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.28 : 765.52 = 483.68 : x
  2. Step 2: Convert to fraction form
    509.28/765.52 = 483.68/x
  3. Step 3: Cross multiply
    509.28x = 765.52 × 483.68
  4. Step 4: Simplify right side
    509.28x = 370,266.71
  5. Step 5: Solve for x
    x = 370,266.71/509.28
  6. Step 6: Final answer
    x = 727.04

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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.