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Finding the Fourth Proportional to 619.59, 855.36 and 409.95

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Solution

The fourth proportional to 619.59, 855.36 and 409.95 is: 565.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.59 : 855.36 = 409.95 : x
  2. Step 2: Convert to fraction form
    619.59/855.36 = 409.95/x
  3. Step 3: Cross multiply
    619.59x = 855.36 × 409.95
  4. Step 4: Simplify right side
    619.59x = 350,654.83
  5. Step 5: Solve for x
    x = 350,654.83/619.59
  6. Step 6: Final answer
    x = 565.95

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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.