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Finding the Fourth Proportional to 513.24, 766.11 and 470.04

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Solution

The fourth proportional to 513.24, 766.11 and 470.04 is: 701.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.24 : 766.11 = 470.04 : x
  2. Step 2: Convert to fraction form
    513.24/766.11 = 470.04/x
  3. Step 3: Cross multiply
    513.24x = 766.11 × 470.04
  4. Step 4: Simplify right side
    513.24x = 360,102.34
  5. Step 5: Solve for x
    x = 360,102.34/513.24
  6. Step 6: Final answer
    x = 701.63

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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.