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Finding the Fourth Proportional to 504.72, 756.70 and 257.87

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Solution

The fourth proportional to 504.72, 756.70 and 257.87 is: 386.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.72 : 756.70 = 257.87 : x
  2. Step 2: Convert to fraction form
    504.72/756.70 = 257.87/x
  3. Step 3: Cross multiply
    504.72x = 756.70 × 257.87
  4. Step 4: Simplify right side
    504.72x = 195,131.48
  5. Step 5: Solve for x
    x = 195,131.48/504.72
  6. Step 6: Final answer
    x = 386.61

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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.