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Finding the Fourth Proportional to 511.19, 762.86 and 456.52

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Solution

The fourth proportional to 511.19, 762.86 and 456.52 is: 681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.19 : 762.86 = 456.52 : x
  2. Step 2: Convert to fraction form
    511.19/762.86 = 456.52/x
  3. Step 3: Cross multiply
    511.19x = 762.86 × 456.52
  4. Step 4: Simplify right side
    511.19x = 348,260.85
  5. Step 5: Solve for x
    x = 348,260.85/511.19
  6. Step 6: Final answer
    x = 681.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.