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Finding the Fourth Proportional to 504.45, 755.14 and 458.17

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Solution

The fourth proportional to 504.45, 755.14 and 458.17 is: 685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.45 : 755.14 = 458.17 : x
  2. Step 2: Convert to fraction form
    504.45/755.14 = 458.17/x
  3. Step 3: Cross multiply
    504.45x = 755.14 × 458.17
  4. Step 4: Simplify right side
    504.45x = 345,982.49
  5. Step 5: Solve for x
    x = 345,982.49/504.45
  6. Step 6: Final answer
    x = 685.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.