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Finding the Fourth Proportional to 504.78, 756.51 and 261.48

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Solution

The fourth proportional to 504.78, 756.51 and 261.48 is: 391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.78 : 756.51 = 261.48 : x
  2. Step 2: Convert to fraction form
    504.78/756.51 = 261.48/x
  3. Step 3: Cross multiply
    504.78x = 756.51 × 261.48
  4. Step 4: Simplify right side
    504.78x = 197,812.23
  5. Step 5: Solve for x
    x = 197,812.23/504.78
  6. Step 6: Final answer
    x = 391.88

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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.