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Finding the Fourth Proportional to 589.13, 812.77 and 353.09

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Solution

The fourth proportional to 589.13, 812.77 and 353.09 is: 487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.13 : 812.77 = 353.09 : x
  2. Step 2: Convert to fraction form
    589.13/812.77 = 353.09/x
  3. Step 3: Cross multiply
    589.13x = 812.77 × 353.09
  4. Step 4: Simplify right side
    589.13x = 286,982.11
  5. Step 5: Solve for x
    x = 286,982.11/589.13
  6. Step 6: Final answer
    x = 487.13

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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.