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Finding the Fourth Proportional to 511.07, 762.68 and 456.39

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Solution

The fourth proportional to 511.07, 762.68 and 456.39 is: 681.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.07 : 762.68 = 456.39 : x
  2. Step 2: Convert to fraction form
    511.07/762.68 = 456.39/x
  3. Step 3: Cross multiply
    511.07x = 762.68 × 456.39
  4. Step 4: Simplify right side
    511.07x = 348,077.24
  5. Step 5: Solve for x
    x = 348,077.24/511.07
  6. Step 6: Final answer
    x = 681.08

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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.