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Finding the Fourth Proportional to 588.96, 812.58 and 356.16

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Solution

The fourth proportional to 588.96, 812.58 and 356.16 is: 491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.96 : 812.58 = 356.16 : x
  2. Step 2: Convert to fraction form
    588.96/812.58 = 356.16/x
  3. Step 3: Cross multiply
    588.96x = 812.58 × 356.16
  4. Step 4: Simplify right side
    588.96x = 289,408.49
  5. Step 5: Solve for x
    x = 289,408.49/588.96
  6. Step 6: Final answer
    x = 491.39

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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.