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Finding the Fourth Proportional to 564.86, 846.52 and 290.37

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Solution

The fourth proportional to 564.86, 846.52 and 290.37 is: 435.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.86 : 846.52 = 290.37 : x
  2. Step 2: Convert to fraction form
    564.86/846.52 = 290.37/x
  3. Step 3: Cross multiply
    564.86x = 846.52 × 290.37
  4. Step 4: Simplify right side
    564.86x = 245,804.01
  5. Step 5: Solve for x
    x = 245,804.01/564.86
  6. Step 6: Final answer
    x = 435.16

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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.