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Finding the Fourth Proportional to 588.84, 812.56 and 323.28

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Solution

The fourth proportional to 588.84, 812.56 and 323.28 is: 446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.84 : 812.56 = 323.28 : x
  2. Step 2: Convert to fraction form
    588.84/812.56 = 323.28/x
  3. Step 3: Cross multiply
    588.84x = 812.56 × 323.28
  4. Step 4: Simplify right side
    588.84x = 262,684.40
  5. Step 5: Solve for x
    x = 262,684.40/588.84
  6. Step 6: Final answer
    x = 446.10

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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.