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Finding the Fourth Proportional to 525.47, 788.35 and 251.79

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Solution

The fourth proportional to 525.47, 788.35 and 251.79 is: 377.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.47 : 788.35 = 251.79 : x
  2. Step 2: Convert to fraction form
    525.47/788.35 = 251.79/x
  3. Step 3: Cross multiply
    525.47x = 788.35 × 251.79
  4. Step 4: Simplify right side
    525.47x = 198,498.65
  5. Step 5: Solve for x
    x = 198,498.65/525.47
  6. Step 6: Final answer
    x = 377.75

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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.