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Finding the Fourth Proportional to 511.72, 766.37 and 430.32

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Solution

The fourth proportional to 511.72, 766.37 and 430.32 is: 644.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.72 : 766.37 = 430.32 : x
  2. Step 2: Convert to fraction form
    511.72/766.37 = 430.32/x
  3. Step 3: Cross multiply
    511.72x = 766.37 × 430.32
  4. Step 4: Simplify right side
    511.72x = 329,784.34
  5. Step 5: Solve for x
    x = 329,784.34/511.72
  6. Step 6: Final answer
    x = 644.46

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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.