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Finding the Fourth Proportional to 564.26, 846.84 and 290.54

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Solution

The fourth proportional to 564.26, 846.84 and 290.54 is: 436.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.26 : 846.84 = 290.54 : x
  2. Step 2: Convert to fraction form
    564.26/846.84 = 290.54/x
  3. Step 3: Cross multiply
    564.26x = 846.84 × 290.54
  4. Step 4: Simplify right side
    564.26x = 246,040.89
  5. Step 5: Solve for x
    x = 246,040.89/564.26
  6. Step 6: Final answer
    x = 436.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.