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Finding the Fourth Proportional to 519.25, 782.45 and 429.95

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Solution

The fourth proportional to 519.25, 782.45 and 429.95 is: 647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.25 : 782.45 = 429.95 : x
  2. Step 2: Convert to fraction form
    519.25/782.45 = 429.95/x
  3. Step 3: Cross multiply
    519.25x = 782.45 × 429.95
  4. Step 4: Simplify right side
    519.25x = 336,414.38
  5. Step 5: Solve for x
    x = 336,414.38/519.25
  6. Step 6: Final answer
    x = 647.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.