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Finding the Fourth Proportional to 539.83, 807.68 and 296.52

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Solution

The fourth proportional to 539.83, 807.68 and 296.52 is: 443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.83 : 807.68 = 296.52 : x
  2. Step 2: Convert to fraction form
    539.83/807.68 = 296.52/x
  3. Step 3: Cross multiply
    539.83x = 807.68 × 296.52
  4. Step 4: Simplify right side
    539.83x = 239,491.79
  5. Step 5: Solve for x
    x = 239,491.79/539.83
  6. Step 6: Final answer
    x = 443.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.