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Finding the Fourth Proportional to 519.93, 717.57 and 476.19

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Solution

The fourth proportional to 519.93, 717.57 and 476.19 is: 657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.93 : 717.57 = 476.19 : x
  2. Step 2: Convert to fraction form
    519.93/717.57 = 476.19/x
  3. Step 3: Cross multiply
    519.93x = 717.57 × 476.19
  4. Step 4: Simplify right side
    519.93x = 341,699.66
  5. Step 5: Solve for x
    x = 341,699.66/519.93
  6. Step 6: Final answer
    x = 657.20

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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.