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Finding the Fourth Proportional to 471.34, 712.02 and 467.29

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Solution

The fourth proportional to 471.34, 712.02 and 467.29 is: 705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.34 : 712.02 = 467.29 : x
  2. Step 2: Convert to fraction form
    471.34/712.02 = 467.29/x
  3. Step 3: Cross multiply
    471.34x = 712.02 × 467.29
  4. Step 4: Simplify right side
    471.34x = 332,719.83
  5. Step 5: Solve for x
    x = 332,719.83/471.34
  6. Step 6: Final answer
    x = 705.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.