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Finding the Fourth Proportional to 641.24, 960.45 and 367.16

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Solution

The fourth proportional to 641.24, 960.45 and 367.16 is: 549.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.24 : 960.45 = 367.16 : x
  2. Step 2: Convert to fraction form
    641.24/960.45 = 367.16/x
  3. Step 3: Cross multiply
    641.24x = 960.45 × 367.16
  4. Step 4: Simplify right side
    641.24x = 352,638.82
  5. Step 5: Solve for x
    x = 352,638.82/641.24
  6. Step 6: Final answer
    x = 549.93

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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.