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Finding the Fourth Proportional to 520.41, 780.63 and 400.14

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Solution

The fourth proportional to 520.41, 780.63 and 400.14 is: 600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.41 : 780.63 = 400.14 : x
  2. Step 2: Convert to fraction form
    520.41/780.63 = 400.14/x
  3. Step 3: Cross multiply
    520.41x = 780.63 × 400.14
  4. Step 4: Simplify right side
    520.41x = 312,361.29
  5. Step 5: Solve for x
    x = 312,361.29/520.41
  6. Step 6: Final answer
    x = 600.22

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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.