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Finding the Fourth Proportional to 405.82, 605.93 and 347.95

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Solution

The fourth proportional to 405.82, 605.93 and 347.95 is: 519.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.82 : 605.93 = 347.95 : x
  2. Step 2: Convert to fraction form
    405.82/605.93 = 347.95/x
  3. Step 3: Cross multiply
    405.82x = 605.93 × 347.95
  4. Step 4: Simplify right side
    405.82x = 210,833.34
  5. Step 5: Solve for x
    x = 210,833.34/405.82
  6. Step 6: Final answer
    x = 519.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.