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Finding the Fourth Proportional to 507.09, 759.42 and 414.75

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Solution

The fourth proportional to 507.09, 759.42 and 414.75 is: 621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.09 : 759.42 = 414.75 : x
  2. Step 2: Convert to fraction form
    507.09/759.42 = 414.75/x
  3. Step 3: Cross multiply
    507.09x = 759.42 × 414.75
  4. Step 4: Simplify right side
    507.09x = 314,969.45
  5. Step 5: Solve for x
    x = 314,969.45/507.09
  6. Step 6: Final answer
    x = 621.13

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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.