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Finding the Fourth Proportional to 442.95, 609.96 and 405.99

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Solution

The fourth proportional to 442.95, 609.96 and 405.99 is: 559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.95 : 609.96 = 405.99 : x
  2. Step 2: Convert to fraction form
    442.95/609.96 = 405.99/x
  3. Step 3: Cross multiply
    442.95x = 609.96 × 405.99
  4. Step 4: Simplify right side
    442.95x = 247,637.66
  5. Step 5: Solve for x
    x = 247,637.66/442.95
  6. Step 6: Final answer
    x = 559.06

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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.