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Finding the Fourth Proportional to 407.32, 561.85 and 267.45

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Solution

The fourth proportional to 407.32, 561.85 and 267.45 is: 368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.32 : 561.85 = 267.45 : x
  2. Step 2: Convert to fraction form
    407.32/561.85 = 267.45/x
  3. Step 3: Cross multiply
    407.32x = 561.85 × 267.45
  4. Step 4: Simplify right side
    407.32x = 150,265.04
  5. Step 5: Solve for x
    x = 150,265.04/407.32
  6. Step 6: Final answer
    x = 368.91

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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.