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Finding the Fourth Proportional to 564.58, 846.24 and 240.22

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Solution

The fourth proportional to 564.58, 846.24 and 240.22 is: 360.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.58 : 846.24 = 240.22 : x
  2. Step 2: Convert to fraction form
    564.58/846.24 = 240.22/x
  3. Step 3: Cross multiply
    564.58x = 846.24 × 240.22
  4. Step 4: Simplify right side
    564.58x = 203,283.77
  5. Step 5: Solve for x
    x = 203,283.77/564.58
  6. Step 6: Final answer
    x = 360.06

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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.