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Finding the Fourth Proportional to 564.22, 846.56 and 290.38

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Solution

The fourth proportional to 564.22, 846.56 and 290.38 is: 435.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.22 : 846.56 = 290.38 : x
  2. Step 2: Convert to fraction form
    564.22/846.56 = 290.38/x
  3. Step 3: Cross multiply
    564.22x = 846.56 × 290.38
  4. Step 4: Simplify right side
    564.22x = 245,824.09
  5. Step 5: Solve for x
    x = 245,824.09/564.22
  6. Step 6: Final answer
    x = 435.69

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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.