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Finding the Fourth Proportional to 588.35, 812 and 339.64

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Solution

The fourth proportional to 588.35, 812 and 339.64 is: 468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.35 : 812 = 339.64 : x
  2. Step 2: Convert to fraction form
    588.35/812 = 339.64/x
  3. Step 3: Cross multiply
    588.35x = 812 × 339.64
  4. Step 4: Simplify right side
    588.35x = 275,787.68
  5. Step 5: Solve for x
    x = 275,787.68/588.35
  6. Step 6: Final answer
    x = 468.75

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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.