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Finding the Fourth Proportional to 524.35, 785.32 and 250.63

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Solution

The fourth proportional to 524.35, 785.32 and 250.63 is: 375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.35 : 785.32 = 250.63 : x
  2. Step 2: Convert to fraction form
    524.35/785.32 = 250.63/x
  3. Step 3: Cross multiply
    524.35x = 785.32 × 250.63
  4. Step 4: Simplify right side
    524.35x = 196,824.75
  5. Step 5: Solve for x
    x = 196,824.75/524.35
  6. Step 6: Final answer
    x = 375.37

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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.