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Finding the Fourth Proportional to 407.19, 561.99 and 267.30

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Solution

The fourth proportional to 407.19, 561.99 and 267.30 is: 368.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.19 : 561.99 = 267.30 : x
  2. Step 2: Convert to fraction form
    407.19/561.99 = 267.30/x
  3. Step 3: Cross multiply
    407.19x = 561.99 × 267.30
  4. Step 4: Simplify right side
    407.19x = 150,219.93
  5. Step 5: Solve for x
    x = 150,219.93/407.19
  6. Step 6: Final answer
    x = 368.92

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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.