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Finding the Fourth Proportional to 519.32, 777.90 and 403.28

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Solution

The fourth proportional to 519.32, 777.90 and 403.28 is: 604.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.32 : 777.90 = 403.28 : x
  2. Step 2: Convert to fraction form
    519.32/777.90 = 403.28/x
  3. Step 3: Cross multiply
    519.32x = 777.90 × 403.28
  4. Step 4: Simplify right side
    519.32x = 313,711.51
  5. Step 5: Solve for x
    x = 313,711.51/519.32
  6. Step 6: Final answer
    x = 604.08

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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.