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Finding the Fourth Proportional to 407.75, 608.33 and 356.31

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Solution

The fourth proportional to 407.75, 608.33 and 356.31 is: 531.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.75 : 608.33 = 356.31 : x
  2. Step 2: Convert to fraction form
    407.75/608.33 = 356.31/x
  3. Step 3: Cross multiply
    407.75x = 608.33 × 356.31
  4. Step 4: Simplify right side
    407.75x = 216,754.95
  5. Step 5: Solve for x
    x = 216,754.95/407.75
  6. Step 6: Final answer
    x = 531.59

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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.