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Finding the Fourth Proportional to 520.25, 780.60 and 260.51

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Solution

The fourth proportional to 520.25, 780.60 and 260.51 is: 390.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.25 : 780.60 = 260.51 : x
  2. Step 2: Convert to fraction form
    520.25/780.60 = 260.51/x
  3. Step 3: Cross multiply
    520.25x = 780.60 × 260.51
  4. Step 4: Simplify right side
    520.25x = 203,354.11
  5. Step 5: Solve for x
    x = 203,354.11/520.25
  6. Step 6: Final answer
    x = 390.88

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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.