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Finding the Fourth Proportional to 588.85, 812.61 and 352.80

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Solution

The fourth proportional to 588.85, 812.61 and 352.80 is: 486.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.85 : 812.61 = 352.80 : x
  2. Step 2: Convert to fraction form
    588.85/812.61 = 352.80/x
  3. Step 3: Cross multiply
    588.85x = 812.61 × 352.80
  4. Step 4: Simplify right side
    588.85x = 286,688.81
  5. Step 5: Solve for x
    x = 286,688.81/588.85
  6. Step 6: Final answer
    x = 486.86

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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.