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Finding the Fourth Proportional to 588.94, 812.97 and 356.06

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Solution

The fourth proportional to 588.94, 812.97 and 356.06 is: 491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.94 : 812.97 = 356.06 : x
  2. Step 2: Convert to fraction form
    588.94/812.97 = 356.06/x
  3. Step 3: Cross multiply
    588.94x = 812.97 × 356.06
  4. Step 4: Simplify right side
    588.94x = 289,468.13
  5. Step 5: Solve for x
    x = 289,468.13/588.94
  6. Step 6: Final answer
    x = 491.51

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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.