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Finding the Fourth Proportional to 407.19, 561.73 and 267.25

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Solution

The fourth proportional to 407.19, 561.73 and 267.25 is: 368.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.19 : 561.73 = 267.25 : x
  2. Step 2: Convert to fraction form
    407.19/561.73 = 267.25/x
  3. Step 3: Cross multiply
    407.19x = 561.73 × 267.25
  4. Step 4: Simplify right side
    407.19x = 150,122.34
  5. Step 5: Solve for x
    x = 150,122.34/407.19
  6. Step 6: Final answer
    x = 368.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.