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Finding the Fourth Proportional to 511.75, 765.99 and 374.15

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Solution

The fourth proportional to 511.75, 765.99 and 374.15 is: 560.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.75 : 765.99 = 374.15 : x
  2. Step 2: Convert to fraction form
    511.75/765.99 = 374.15/x
  3. Step 3: Cross multiply
    511.75x = 765.99 × 374.15
  4. Step 4: Simplify right side
    511.75x = 286,597.07
  5. Step 5: Solve for x
    x = 286,597.07/511.75
  6. Step 6: Final answer
    x = 560.03

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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.