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Finding the Fourth Proportional to 511.37, 700.77 and 462.16

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Solution

The fourth proportional to 511.37, 700.77 and 462.16 is: 633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.37 : 700.77 = 462.16 : x
  2. Step 2: Convert to fraction form
    511.37/700.77 = 462.16/x
  3. Step 3: Cross multiply
    511.37x = 700.77 × 462.16
  4. Step 4: Simplify right side
    511.37x = 323,867.20
  5. Step 5: Solve for x
    x = 323,867.20/511.37
  6. Step 6: Final answer
    x = 633.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.