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Finding the Fourth Proportional to 407.19, 561.75 and 267.46

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Solution

The fourth proportional to 407.19, 561.75 and 267.46 is: 368.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.19 : 561.75 = 267.46 : x
  2. Step 2: Convert to fraction form
    407.19/561.75 = 267.46/x
  3. Step 3: Cross multiply
    407.19x = 561.75 × 267.46
  4. Step 4: Simplify right side
    407.19x = 150,245.66
  5. Step 5: Solve for x
    x = 150,245.66/407.19
  6. Step 6: Final answer
    x = 368.98

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Why These Related Problems?

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