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Finding the Fourth Proportional to 520.48, 780.36 and 289.44

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Solution

The fourth proportional to 520.48, 780.36 and 289.44 is: 433.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.48 : 780.36 = 289.44 : x
  2. Step 2: Convert to fraction form
    520.48/780.36 = 289.44/x
  3. Step 3: Cross multiply
    520.48x = 780.36 × 289.44
  4. Step 4: Simplify right side
    520.48x = 225,867.40
  5. Step 5: Solve for x
    x = 225,867.40/520.48
  6. Step 6: Final answer
    x = 433.96

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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.