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Finding the Fourth Proportional to 564.36, 846.53 and 290.31

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Solution

The fourth proportional to 564.36, 846.53 and 290.31 is: 435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.36 : 846.53 = 290.31 : x
  2. Step 2: Convert to fraction form
    564.36/846.53 = 290.31/x
  3. Step 3: Cross multiply
    564.36x = 846.53 × 290.31
  4. Step 4: Simplify right side
    564.36x = 245,756.12
  5. Step 5: Solve for x
    x = 245,756.12/564.36
  6. Step 6: Final answer
    x = 435.46

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