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Finding the Fourth Proportional to 504.37, 756.54 and 226.98

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Solution

The fourth proportional to 504.37, 756.54 and 226.98 is: 340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.37 : 756.54 = 226.98 : x
  2. Step 2: Convert to fraction form
    504.37/756.54 = 226.98/x
  3. Step 3: Cross multiply
    504.37x = 756.54 × 226.98
  4. Step 4: Simplify right side
    504.37x = 171,719.45
  5. Step 5: Solve for x
    x = 171,719.45/504.37
  6. Step 6: Final answer
    x = 340.46

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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.