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Finding the Fourth Proportional to 525.60, 725.47 and 350.94

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Solution

The fourth proportional to 525.60, 725.47 and 350.94 is: 484.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.60 : 725.47 = 350.94 : x
  2. Step 2: Convert to fraction form
    525.60/725.47 = 350.94/x
  3. Step 3: Cross multiply
    525.60x = 725.47 × 350.94
  4. Step 4: Simplify right side
    525.60x = 254,596.44
  5. Step 5: Solve for x
    x = 254,596.44/525.60
  6. Step 6: Final answer
    x = 484.40

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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.