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Finding the Fourth Proportional to 520, 780 and 263.50

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Solution

The fourth proportional to 520, 780 and 263.50 is: 395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    520 : 780 = 263.50 : x
  2. Step 2: Convert to fraction form
    520/780 = 263.50/x
  3. Step 3: Cross multiply
    520x = 780 × 263.50
  4. Step 4: Simplify right side
    520x = 205,530
  5. Step 5: Solve for x
    x = 205,530/520
  6. Step 6: Final answer
    x = 395.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.