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Finding the Fourth Proportional to 520.68, 780.61 and 301.06

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Solution

The fourth proportional to 520.68, 780.61 and 301.06 is: 451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.68 : 780.61 = 301.06 : x
  2. Step 2: Convert to fraction form
    520.68/780.61 = 301.06/x
  3. Step 3: Cross multiply
    520.68x = 780.61 × 301.06
  4. Step 4: Simplify right side
    520.68x = 235,005.04
  5. Step 5: Solve for x
    x = 235,005.04/520.68
  6. Step 6: Final answer
    x = 451.34

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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.