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Finding the Fourth Proportional to 605.95, 905.46 and 508.75

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Solution

The fourth proportional to 605.95, 905.46 and 508.75 is: 760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.95 : 905.46 = 508.75 : x
  2. Step 2: Convert to fraction form
    605.95/905.46 = 508.75/x
  3. Step 3: Cross multiply
    605.95x = 905.46 × 508.75
  4. Step 4: Simplify right side
    605.95x = 460,652.78
  5. Step 5: Solve for x
    x = 460,652.78/605.95
  6. Step 6: Final answer
    x = 760.22

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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.