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Finding the Fourth Proportional to 520.07, 780.20 and 288.83

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Solution

The fourth proportional to 520.07, 780.20 and 288.83 is: 433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.07 : 780.20 = 288.83 : x
  2. Step 2: Convert to fraction form
    520.07/780.20 = 288.83/x
  3. Step 3: Cross multiply
    520.07x = 780.20 × 288.83
  4. Step 4: Simplify right side
    520.07x = 225,339.82
  5. Step 5: Solve for x
    x = 225,339.82/520.07
  6. Step 6: Final answer
    x = 433.29

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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.