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Finding the Fourth Proportional to 520.10, 780.18 and 231.54

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Solution

The fourth proportional to 520.10, 780.18 and 231.54 is: 347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.10 : 780.18 = 231.54 : x
  2. Step 2: Convert to fraction form
    520.10/780.18 = 231.54/x
  3. Step 3: Cross multiply
    520.10x = 780.18 × 231.54
  4. Step 4: Simplify right side
    520.10x = 180,642.88
  5. Step 5: Solve for x
    x = 180,642.88/520.10
  6. Step 6: Final answer
    x = 347.32

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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.