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Finding the Fourth Proportional to 463.86, 640.01 and 267.36

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Solution

The fourth proportional to 463.86, 640.01 and 267.36 is: 368.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.86 : 640.01 = 267.36 : x
  2. Step 2: Convert to fraction form
    463.86/640.01 = 267.36/x
  3. Step 3: Cross multiply
    463.86x = 640.01 × 267.36
  4. Step 4: Simplify right side
    463.86x = 171,111.74
  5. Step 5: Solve for x
    x = 171,111.74/463.86
  6. Step 6: Final answer
    x = 368.89

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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.