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Finding the Fourth Proportional to 605.41, 909.03 and 345.71

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Solution

The fourth proportional to 605.41, 909.03 and 345.71 is: 519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.41 : 909.03 = 345.71 : x
  2. Step 2: Convert to fraction form
    605.41/909.03 = 345.71/x
  3. Step 3: Cross multiply
    605.41x = 909.03 × 345.71
  4. Step 4: Simplify right side
    605.41x = 314,256.22
  5. Step 5: Solve for x
    x = 314,256.22/605.41
  6. Step 6: Final answer
    x = 519.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.