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Finding the Fourth Proportional to 504.88, 756.61 and 395.33

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Solution

The fourth proportional to 504.88, 756.61 and 395.33 is: 592.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.88 : 756.61 = 395.33 : x
  2. Step 2: Convert to fraction form
    504.88/756.61 = 395.33/x
  3. Step 3: Cross multiply
    504.88x = 756.61 × 395.33
  4. Step 4: Simplify right side
    504.88x = 299,105.86
  5. Step 5: Solve for x
    x = 299,105.86/504.88
  6. Step 6: Final answer
    x = 592.43

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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.