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Finding the Fourth Proportional to 520.34, 780.54 and 191.36

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Solution

The fourth proportional to 520.34, 780.54 and 191.36 is: 287.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.34 : 780.54 = 191.36 : x
  2. Step 2: Convert to fraction form
    520.34/780.54 = 191.36/x
  3. Step 3: Cross multiply
    520.34x = 780.54 × 191.36
  4. Step 4: Simplify right side
    520.34x = 149,365.37
  5. Step 5: Solve for x
    x = 149,365.37/520.34
  6. Step 6: Final answer
    x = 287.06

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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.