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Finding the Fourth Proportional to 504.50, 753.14 and 426.94

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Solution

The fourth proportional to 504.50, 753.14 and 426.94 is: 637.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.50 : 753.14 = 426.94 : x
  2. Step 2: Convert to fraction form
    504.50/753.14 = 426.94/x
  3. Step 3: Cross multiply
    504.50x = 753.14 × 426.94
  4. Step 4: Simplify right side
    504.50x = 321,544.78
  5. Step 5: Solve for x
    x = 321,544.78/504.50
  6. Step 6: Final answer
    x = 637.36

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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.