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Finding the Fourth Proportional to 564.31, 846.96 and 290.59

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Solution

The fourth proportional to 564.31, 846.96 and 290.59 is: 436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.31 : 846.96 = 290.59 : x
  2. Step 2: Convert to fraction form
    564.31/846.96 = 290.59/x
  3. Step 3: Cross multiply
    564.31x = 846.96 × 290.59
  4. Step 4: Simplify right side
    564.31x = 246,118.11
  5. Step 5: Solve for x
    x = 246,118.11/564.31
  6. Step 6: Final answer
    x = 436.14

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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.