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Finding the Fourth Proportional to 525.93, 788.21 and 217.47

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Solution

The fourth proportional to 525.93, 788.21 and 217.47 is: 325.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.93 : 788.21 = 217.47 : x
  2. Step 2: Convert to fraction form
    525.93/788.21 = 217.47/x
  3. Step 3: Cross multiply
    525.93x = 788.21 × 217.47
  4. Step 4: Simplify right side
    525.93x = 171,412.03
  5. Step 5: Solve for x
    x = 171,412.03/525.93
  6. Step 6: Final answer
    x = 325.92

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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.