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Finding the Fourth Proportional to 525.60, 725.29 and 378.49

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Solution

The fourth proportional to 525.60, 725.29 and 378.49 is: 522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.60 : 725.29 = 378.49 : x
  2. Step 2: Convert to fraction form
    525.60/725.29 = 378.49/x
  3. Step 3: Cross multiply
    525.60x = 725.29 × 378.49
  4. Step 4: Simplify right side
    525.60x = 274,515.01
  5. Step 5: Solve for x
    x = 274,515.01/525.60
  6. Step 6: Final answer
    x = 522.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.