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Finding the Fourth Proportional to 520.56, 780.57 and 288.90

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Solution

The fourth proportional to 520.56, 780.57 and 288.90 is: 433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.56 : 780.57 = 288.90 : x
  2. Step 2: Convert to fraction form
    520.56/780.57 = 288.90/x
  3. Step 3: Cross multiply
    520.56x = 780.57 × 288.90
  4. Step 4: Simplify right side
    520.56x = 225,506.67
  5. Step 5: Solve for x
    x = 225,506.67/520.56
  6. Step 6: Final answer
    x = 433.20

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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.