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Finding the Fourth Proportional to 507.56, 757.46 and 452.88

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Solution

The fourth proportional to 507.56, 757.46 and 452.88 is: 675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.56 : 757.46 = 452.88 : x
  2. Step 2: Convert to fraction form
    507.56/757.46 = 452.88/x
  3. Step 3: Cross multiply
    507.56x = 757.46 × 452.88
  4. Step 4: Simplify right side
    507.56x = 343,036.22
  5. Step 5: Solve for x
    x = 343,036.22/507.56
  6. Step 6: Final answer
    x = 675.85

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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.