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Finding the Fourth Proportional to 507.58, 759.16 and 453.14

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Solution

The fourth proportional to 507.58, 759.16 and 453.14 is: 677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.58 : 759.16 = 453.14 : x
  2. Step 2: Convert to fraction form
    507.58/759.16 = 453.14/x
  3. Step 3: Cross multiply
    507.58x = 759.16 × 453.14
  4. Step 4: Simplify right side
    507.58x = 344,005.76
  5. Step 5: Solve for x
    x = 344,005.76/507.58
  6. Step 6: Final answer
    x = 677.74

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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.