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Finding the Fourth Proportional to 504.52, 756.78 and 277.96

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Solution

The fourth proportional to 504.52, 756.78 and 277.96 is: 416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.52 : 756.78 = 277.96 : x
  2. Step 2: Convert to fraction form
    504.52/756.78 = 277.96/x
  3. Step 3: Cross multiply
    504.52x = 756.78 × 277.96
  4. Step 4: Simplify right side
    504.52x = 210,354.57
  5. Step 5: Solve for x
    x = 210,354.57/504.52
  6. Step 6: Final answer
    x = 416.94

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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.