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Finding the Fourth Proportional to 525.35, 788.12 and 217.03

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Solution

The fourth proportional to 525.35, 788.12 and 217.03 is: 325.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.35 : 788.12 = 217.03 : x
  2. Step 2: Convert to fraction form
    525.35/788.12 = 217.03/x
  3. Step 3: Cross multiply
    525.35x = 788.12 × 217.03
  4. Step 4: Simplify right side
    525.35x = 171,045.68
  5. Step 5: Solve for x
    x = 171,045.68/525.35
  6. Step 6: Final answer
    x = 325.58

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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.