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Finding the Fourth Proportional to 519.03, 716.92 and 457.07

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Solution

The fourth proportional to 519.03, 716.92 and 457.07 is: 631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.03 : 716.92 = 457.07 : x
  2. Step 2: Convert to fraction form
    519.03/716.92 = 457.07/x
  3. Step 3: Cross multiply
    519.03x = 716.92 × 457.07
  4. Step 4: Simplify right side
    519.03x = 327,677.90
  5. Step 5: Solve for x
    x = 327,677.90/519.03
  6. Step 6: Final answer
    x = 631.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.