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Finding the Fourth Proportional to 588.96, 812.39 and 464.58

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Solution

The fourth proportional to 588.96, 812.39 and 464.58 is: 640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.96 : 812.39 = 464.58 : x
  2. Step 2: Convert to fraction form
    588.96/812.39 = 464.58/x
  3. Step 3: Cross multiply
    588.96x = 812.39 × 464.58
  4. Step 4: Simplify right side
    588.96x = 377,420.15
  5. Step 5: Solve for x
    x = 377,420.15/588.96
  6. Step 6: Final answer
    x = 640.82

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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.