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Finding the Fourth Proportional to 525.70, 788.23 and 251.70

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Solution

The fourth proportional to 525.70, 788.23 and 251.70 is: 377.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.70 : 788.23 = 251.70 : x
  2. Step 2: Convert to fraction form
    525.70/788.23 = 251.70/x
  3. Step 3: Cross multiply
    525.70x = 788.23 × 251.70
  4. Step 4: Simplify right side
    525.70x = 198,397.49
  5. Step 5: Solve for x
    x = 198,397.49/525.70
  6. Step 6: Final answer
    x = 377.40

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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.