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Finding the Fourth Proportional to 520.23, 777.96 and 388.71

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Solution

The fourth proportional to 520.23, 777.96 and 388.71 is: 581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.23 : 777.96 = 388.71 : x
  2. Step 2: Convert to fraction form
    520.23/777.96 = 388.71/x
  3. Step 3: Cross multiply
    520.23x = 777.96 × 388.71
  4. Step 4: Simplify right side
    520.23x = 302,400.83
  5. Step 5: Solve for x
    x = 302,400.83/520.23
  6. Step 6: Final answer
    x = 581.28

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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.