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Finding the Fourth Proportional to 526.35, 788.46 and 251.61

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Solution

The fourth proportional to 526.35, 788.46 and 251.61 is: 376.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.35 : 788.46 = 251.61 : x
  2. Step 2: Convert to fraction form
    526.35/788.46 = 251.61/x
  3. Step 3: Cross multiply
    526.35x = 788.46 × 251.61
  4. Step 4: Simplify right side
    526.35x = 198,381.23
  5. Step 5: Solve for x
    x = 198,381.23/526.35
  6. Step 6: Final answer
    x = 376.90

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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.