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Finding the Fourth Proportional to 625.92, 937.06 and 464.34

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Solution

The fourth proportional to 625.92, 937.06 and 464.34 is: 695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.92 : 937.06 = 464.34 : x
  2. Step 2: Convert to fraction form
    625.92/937.06 = 464.34/x
  3. Step 3: Cross multiply
    625.92x = 937.06 × 464.34
  4. Step 4: Simplify right side
    625.92x = 435,114.44
  5. Step 5: Solve for x
    x = 435,114.44/625.92
  6. Step 6: Final answer
    x = 695.16

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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.