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Finding the Fourth Proportional to 518.16, 777.21 and 314.04

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Solution

The fourth proportional to 518.16, 777.21 and 314.04 is: 471.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.16 : 777.21 = 314.04 : x
  2. Step 2: Convert to fraction form
    518.16/777.21 = 314.04/x
  3. Step 3: Cross multiply
    518.16x = 777.21 × 314.04
  4. Step 4: Simplify right side
    518.16x = 244,075.03
  5. Step 5: Solve for x
    x = 244,075.03/518.16
  6. Step 6: Final answer
    x = 471.04

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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.