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Finding the Fourth Proportional to 588.82, 812.56 and 352.65

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Solution

The fourth proportional to 588.82, 812.56 and 352.65 is: 486.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.82 : 812.56 = 352.65 : x
  2. Step 2: Convert to fraction form
    588.82/812.56 = 352.65/x
  3. Step 3: Cross multiply
    588.82x = 812.56 × 352.65
  4. Step 4: Simplify right side
    588.82x = 286,553.91
  5. Step 5: Solve for x
    x = 286,553.91/588.82
  6. Step 6: Final answer
    x = 486.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.