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Finding the Fourth Proportional to 507.67, 756.44 and 453.14

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Solution

The fourth proportional to 507.67, 756.44 and 453.14 is: 675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.67 : 756.44 = 453.14 : x
  2. Step 2: Convert to fraction form
    507.67/756.44 = 453.14/x
  3. Step 3: Cross multiply
    507.67x = 756.44 × 453.14
  4. Step 4: Simplify right side
    507.67x = 342,775.11
  5. Step 5: Solve for x
    x = 342,775.11/507.67
  6. Step 6: Final answer
    x = 675.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.