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Finding the Fourth Proportional to 685.70, 945.15 and 464.57

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Solution

The fourth proportional to 685.70, 945.15 and 464.57 is: 640.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.70 : 945.15 = 464.57 : x
  2. Step 2: Convert to fraction form
    685.70/945.15 = 464.57/x
  3. Step 3: Cross multiply
    685.70x = 945.15 × 464.57
  4. Step 4: Simplify right side
    685.70x = 439,083.61
  5. Step 5: Solve for x
    x = 439,083.61/685.70
  6. Step 6: Final answer
    x = 640.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.