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Finding the Fourth Proportional to 588.84, 812.28 and 355.98

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Solution

The fourth proportional to 588.84, 812.28 and 355.98 is: 491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.84 : 812.28 = 355.98 : x
  2. Step 2: Convert to fraction form
    588.84/812.28 = 355.98/x
  3. Step 3: Cross multiply
    588.84x = 812.28 × 355.98
  4. Step 4: Simplify right side
    588.84x = 289,155.43
  5. Step 5: Solve for x
    x = 289,155.43/588.84
  6. Step 6: Final answer
    x = 491.06

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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.