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Finding the Fourth Proportional to 512, 766.92 and 470

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Solution

The fourth proportional to 512, 766.92 and 470 is: 704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    512 : 766.92 = 470 : x
  2. Step 2: Convert to fraction form
    512/766.92 = 470/x
  3. Step 3: Cross multiply
    512x = 766.92 × 470
  4. Step 4: Simplify right side
    512x = 360,452.40
  5. Step 5: Solve for x
    x = 360,452.40/512
  6. Step 6: Final answer
    x = 704.01

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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.