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Finding the Fourth Proportional to 526.50, 788.90 and 321.21

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Solution

The fourth proportional to 526.50, 788.90 and 321.21 is: 481.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.50 : 788.90 = 321.21 : x
  2. Step 2: Convert to fraction form
    526.50/788.90 = 321.21/x
  3. Step 3: Cross multiply
    526.50x = 788.90 × 321.21
  4. Step 4: Simplify right side
    526.50x = 253,400.96
  5. Step 5: Solve for x
    x = 253,400.96/526.50
  6. Step 6: Final answer
    x = 481.29

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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.