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Finding the Fourth Proportional to 504.57, 756.87 and 260.94

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Solution

The fourth proportional to 504.57, 756.87 and 260.94 is: 391.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.57 : 756.87 = 260.94 : x
  2. Step 2: Convert to fraction form
    504.57/756.87 = 260.94/x
  3. Step 3: Cross multiply
    504.57x = 756.87 × 260.94
  4. Step 4: Simplify right side
    504.57x = 197,497.66
  5. Step 5: Solve for x
    x = 197,497.66/504.57
  6. Step 6: Final answer
    x = 391.42

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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.