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Finding the Fourth Proportional to 588.96, 812.81 and 340.21

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Solution

The fourth proportional to 588.96, 812.81 and 340.21 is: 469.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.96 : 812.81 = 340.21 : x
  2. Step 2: Convert to fraction form
    588.96/812.81 = 340.21/x
  3. Step 3: Cross multiply
    588.96x = 812.81 × 340.21
  4. Step 4: Simplify right side
    588.96x = 276,526.09
  5. Step 5: Solve for x
    x = 276,526.09/588.96
  6. Step 6: Final answer
    x = 469.52

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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.