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Finding the Fourth Proportional to 526.73, 792.45 and 321.47

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Solution

The fourth proportional to 526.73, 792.45 and 321.47 is: 483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.73 : 792.45 = 321.47 : x
  2. Step 2: Convert to fraction form
    526.73/792.45 = 321.47/x
  3. Step 3: Cross multiply
    526.73x = 792.45 × 321.47
  4. Step 4: Simplify right side
    526.73x = 254,744.94
  5. Step 5: Solve for x
    x = 254,744.94/526.73
  6. Step 6: Final answer
    x = 483.64

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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.